Pith Number

pith:BRIMHEX3

pith:2009:BRIMHEX3PWFRUIL3REH4TKGTJC

not attested not anchored not stored refs pending

Disorder chaos and multiple valleys in spin glasses

Sourav Chatterjee

arxiv:0907.3381 v4 · 2009-07-20 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRIMHEX3PWFRUIL3REH4TKGTJC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

The Order of Free Energy Fluctuations in the Critical Sherrington-Kirkpatrick Model Revisited

Fluctuations of the Sherrington-Kirkpatrick free energy at critical temperature

Spin glass phase at zero temperature in the Edwards-Anderson model

Michel Talagrand and the Rigorous Theory of Mean Field Spin Glasses

The Legendre structure of the TAP complexity for the Ising spin glass

Receipt and verification

First computed	2026-07-04T17:16:23.930460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c50c392fb7d8b1a217b890fc9a8d348901c521c36dd26905d1a6cd4e05b0c27

Aliases

arxiv: 0907.3381 · arxiv_version: 0907.3381v4 · doi: 10.48550/arxiv.0907.3381 · pith_short_12: BRIMHEX3PWFR · pith_short_16: BRIMHEX3PWFRUIL3 · pith_short_8: BRIMHEX3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BRIMHEX3PWFRUIL3REH4TKGTJC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0c50c392fb7d8b1a217b890fc9a8d348901c521c36dd26905d1a6cd4e05b0c27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135cea5fd6085fecd80800c45ccedaefa4f6e69122895b9d97fcf68433f7df88",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-07-20T11:53:54Z",
    "title_canon_sha256": "edd886bef90e7e88de9fe1bb24c8f496a2632a8e32a9472ac2bae39a62827b9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3381",
    "kind": "arxiv",
    "version": 4
  }
}