Pith Number

pith:RLBKFVI4

pith:2008:RLBKFVI4MXF3JNFZDYOIYH2OZX

not attested not anchored not stored refs pending

Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model

Nick Crawford, Sourav Chatterjee

arxiv:0810.3279 v2 · 2008-10-18 · 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{RLBKFVI4MXF3JNFZDYOIYH2OZX}

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.

Receipt and verification

First computed	2026-05-18T02:15:24.036969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ac2a2d51c65cbb4b4b91e1c8c1f4ecdfb92db3e9dd9b2f2bea0842ad40b9e79

Aliases

arxiv: 0810.3279 · arxiv_version: 0810.3279v2 · doi: 10.48550/arxiv.0810.3279 · pith_short_12: RLBKFVI4MXF3 · pith_short_16: RLBKFVI4MXF3JNFZ · pith_short_8: RLBKFVI4

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/RLBKFVI4MXF3JNFZDYOIYH2OZX \
  | 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: 8ac2a2d51c65cbb4b4b91e1c8c1f4ecdfb92db3e9dd9b2f2bea0842ad40b9e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0614863260a722a1da578fd685f89bba3bbe543e33e46a7dd81b75906b98a1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-10-18T00:23:38Z",
    "title_canon_sha256": "146cf59b259b84be600fdf3dec082232f7fb2fc6018389b95a365bdba1111557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3279",
    "kind": "arxiv",
    "version": 2
  }
}