Pith Number

pith:FMLIJ472

pith:2011:FMLIJ472S2PRA4HDV2HI6UPP34

not attested not anchored not stored refs pending

Moments of traces of circular beta-ensembles

Sho Matsumoto, Tiefeng Jiang

arxiv:1102.4123 v2 · 2011-02-21 · 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{FMLIJ472S2PRA4HDV2HI6UPP34}

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	2026-05-18T01:23:59.286799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b1684f3fa969f1070e3ae8e8f51efdf28cb5df625b624774771dd843b410b42

Aliases

arxiv: 1102.4123 · arxiv_version: 1102.4123v2 · doi: 10.48550/arxiv.1102.4123 · pith_short_12: FMLIJ472S2PR · pith_short_16: FMLIJ472S2PRA4HD · pith_short_8: FMLIJ472

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/FMLIJ472S2PRA4HDV2HI6UPP34 \
  | 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: 2b1684f3fa969f1070e3ae8e8f51efdf28cb5df625b624774771dd843b410b42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c176dc732503c3901dcb2339f3861da23ea0c825760ac67f55c76df69825be36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-21T02:45:01Z",
    "title_canon_sha256": "ca482ff3c934433d1cff08d499035079dd161bcfd3055224a31731d48d0e908e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4123",
    "kind": "arxiv",
    "version": 2
  }
}