Pith Number

pith:6VAQ4FBM

pith:2011:6VAQ4FBMW6TMSWRG5UZTTMP7WF

not attested not anchored not stored refs pending

A new representation of the Ghirlanda-Guerra identities with applications

Dmitry Panchenko

arxiv:1108.0379 v2 · 2011-08-01 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VAQ4FBMW6TMSWRG5UZTTMP7WF}

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	2026-05-18T04:07:29.082087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5410e142cb7a6c95a26ed3339b1ffb178f47a4eb9699e343225b51e7efc50ad

Aliases

arxiv: 1108.0379 · arxiv_version: 1108.0379v2 · doi: 10.48550/arxiv.1108.0379 · pith_short_12: 6VAQ4FBMW6TM · pith_short_16: 6VAQ4FBMW6TMSWRG · pith_short_8: 6VAQ4FBM

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/6VAQ4FBMW6TMSWRG5UZTTMP7WF \
  | 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: f5410e142cb7a6c95a26ed3339b1ffb178f47a4eb9699e343225b51e7efc50ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "258a6c4fce8b29a3f81e04ebf37321a784e4cc57e3b5dbd4e14eda511b3703f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-01T18:17:03Z",
    "title_canon_sha256": "3fed717664e4e08cad2b6e51bc7276db88e8e15bfdb06aa6439546b1ee65ac0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0379",
    "kind": "arxiv",
    "version": 2
  }
}