Pith Number

pith:PBUHLWEL

pith:2010:PBUHLWELKBH6CMSBPRONZCXHLX

not attested not anchored not stored refs pending

Analyticity of the planar limit of a matrix model

Ionel Popescu, Stavros Garoufalidis

arxiv:1010.0927 v5 · 2010-10-05 · math.CA · hep-th · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBUHLWELKBH6CMSBPRONZCXHLX}

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	2026-05-18T03:53:42.626777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

786875d88b504fe132417c5cdc8ae75de69d6148f257439ef1d569559d5f0d1f

Aliases

arxiv: 1010.0927 · arxiv_version: 1010.0927v5 · doi: 10.48550/arxiv.1010.0927 · pith_short_12: PBUHLWELKBH6 · pith_short_16: PBUHLWELKBH6CMSB · pith_short_8: PBUHLWEL

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/PBUHLWELKBH6CMSBPRONZCXHLX \
  | 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: 786875d88b504fe132417c5cdc8ae75de69d6148f257439ef1d569559d5f0d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c09efbe775bbfb7d8baf1a4c15e6c721b807bb7fab114217103a9ef326eefc6",
    "cross_cats_sorted": [
      "hep-th",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-05T15:58:05Z",
    "title_canon_sha256": "29f531ee881118cc1f5ad5a93bd769d40a2af1cb15e71530e39fc89b1c8370a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0927",
    "kind": "arxiv",
    "version": 5
  }
}