Pith Number

pith:BUCSOABF

pith:2009:BUCSOABFPRKVLFGA4IWVDCWXWV

not attested not anchored not stored refs pending

Quantum Fluctuations and Geometry: From Graph Counting to Ricci Flow

Mauro Carfora, Stefano Romano

arxiv:0902.2061 v3 · 2009-02-12 · hep-th · math-ph · math.DG · 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{BUCSOABFPRKVLFGA4IWVDCWXWV}

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	2026-05-18T02:14:48.214811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d052700257c555594c0e22d518ad7b5479e5b3690ba0ef5ae3bb8720c709f05

Aliases

arxiv: 0902.2061 · arxiv_version: 0902.2061v3 · doi: 10.48550/arxiv.0902.2061 · pith_short_12: BUCSOABFPRKV · pith_short_16: BUCSOABFPRKVLFGA · pith_short_8: BUCSOABF

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/BUCSOABFPRKVLFGA4IWVDCWXWV \
  | 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: 0d052700257c555594c0e22d518ad7b5479e5b3690ba0ef5ae3bb8720c709f05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b9d35cbfaeed4148601ef3e16ecebce80a7e7cd358ff41a2172f11fb16d649",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-02-12T09:37:59Z",
    "title_canon_sha256": "c776a4ba4e9fa8fa11dad292cb7508d9d34cfdb5152381dc932387aa815179f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2061",
    "kind": "arxiv",
    "version": 3
  }
}