Pith Number

pith:AETGJ2HF

pith:2010:AETGJ2HF2QUZJR54NEQRAQL7EP

not attested not anchored not stored refs pending

Various equations for gap probabilities of coupled Gaussian matrices

Igor Rumanov

arxiv:1007.3793 v2 · 2010-07-22 · 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{AETGJ2HF2QUZJR54NEQRAQL7EP}

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	2026-05-18T02:06:11.747690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

012664e8e5d42994c7bc692110417f23fbaddfdfd32493d81483d24adcce22e4

Aliases

arxiv: 1007.3793 · arxiv_version: 1007.3793v2 · doi: 10.48550/arxiv.1007.3793 · pith_short_12: AETGJ2HF2QUZ · pith_short_16: AETGJ2HF2QUZJR54 · pith_short_8: AETGJ2HF

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/AETGJ2HF2QUZJR54NEQRAQL7EP \
  | 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: 012664e8e5d42994c7bc692110417f23fbaddfdfd32493d81483d24adcce22e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25dcf060c4c3c392e54acbcc2aabad160b6cc412ccbdfd7b270d0cd0e259afd7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-22T03:18:15Z",
    "title_canon_sha256": "fbecba52eb7c4e8217d612bf50afd57eca428aac64baf0440972f633a37b2c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3793",
    "kind": "arxiv",
    "version": 2
  }
}