Pith Number

pith:RTHRHNAD

pith:2010:RTHRHNADRMKM4VH7MP4YZ5RHQX

not attested not anchored not stored refs pending

Topological expansion in the cubic random matrix model

Alfredo Dea\~no, Pavel Bleher

arxiv:1011.6338 v3 · 2010-11-29 · 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{RTHRHNADRMKM4VH7MP4YZ5RHQX}

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	2026-05-18T04:08:03.855745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ccf13b4038b14ce54ff63f98cf62785e7ff444f4ff4aab76cdd0473e4b2b52b

Aliases

arxiv: 1011.6338 · arxiv_version: 1011.6338v3 · doi: 10.48550/arxiv.1011.6338 · pith_short_12: RTHRHNADRMKM · pith_short_16: RTHRHNADRMKM4VH7 · pith_short_8: RTHRHNAD

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/RTHRHNADRMKM4VH7MP4YZ5RHQX \
  | 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: 8ccf13b4038b14ce54ff63f98cf62785e7ff444f4ff4aab76cdd0473e4b2b52b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb62574c3da67542bd0e51e25620d7b375fe905efa9241a498a57fc62ba3dafe",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-29T19:20:12Z",
    "title_canon_sha256": "8830b93a54f5b3295b144956af3d54266a1aec782fd279943154a1973839f039"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6338",
    "kind": "arxiv",
    "version": 3
  }
}