Pith Number

pith:FVO5YTBT

pith:2025:FVO5YTBTPEL4ER5IMCXMVX2QZT

not attested not anchored not stored refs pending

Multicritical Dynamical Triangulations and Topological Recursion

Hiroyuki Fuji, Masahide Manabe, Yoshiyuki Watabiki

arxiv:2512.10519 v2 · 2025-12-11 · hep-th · gr-qc · 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{FVO5YTBTPEL4ER5IMCXMVX2QZT}

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	2026-05-21T01:05:13.205545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d5ddc4c337917c247a860aecadf50ccc6638d2e7a8180e75ff86b4e5d49e9b0

Aliases

arxiv: 2512.10519 · arxiv_version: 2512.10519v2 · doi: 10.48550/arxiv.2512.10519 · pith_short_12: FVO5YTBTPEL4 · pith_short_16: FVO5YTBTPEL4ER5I · pith_short_8: FVO5YTBT

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/FVO5YTBTPEL4ER5IMCXMVX2QZT \
  | 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: 2d5ddc4c337917c247a860aecadf50ccc6638d2e7a8180e75ff86b4e5d49e9b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b0ada9e7de90d84a22397fcd605e66f2f0d335da54f1e69e8fa63204b131bb",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-11T10:42:03Z",
    "title_canon_sha256": "1b3e11ab634f15f239991880a9e2cc1ed93313eaab8c892ad53c3a111ac29589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.10519",
    "kind": "arxiv",
    "version": 2
  }
}