Pith Number

pith:GC2RRNNN

pith:2015:GC2RRNNN4YYJDRX2UNTMXFB4XZ

not attested not anchored not stored refs pending

On a Mean Field Theory of Topological 2D Gravity

Jian Zhou

arxiv:1503.08546 v1 · 2015-03-30 · math.AG · 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{GC2RRNNN4YYJDRX2UNTMXFB4XZ}

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	2026-05-18T02:20:01.465301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b518b5ade63091c6faa366cb943cbe6cf1246f9a1fb287c378b503e1805274

Aliases

arxiv: 1503.08546 · arxiv_version: 1503.08546v1 · doi: 10.48550/arxiv.1503.08546 · pith_short_12: GC2RRNNN4YYJ · pith_short_16: GC2RRNNN4YYJDRX2 · pith_short_8: GC2RRNNN

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/GC2RRNNN4YYJDRX2UNTMXFB4XZ \
  | 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: 30b518b5ade63091c6faa366cb943cbe6cf1246f9a1fb287c378b503e1805274

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b04804a73476fa247729535d81e74251f512199630f4156b3440c595993dff3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-30T06:06:17Z",
    "title_canon_sha256": "ff2a13c9cc40fba3873eb13b4c1f78a0aec44c77317adc6b6eadbd6b1385be79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08546",
    "kind": "arxiv",
    "version": 1
  }
}