Pith Number

pith:GHPKJHFE

pith:2011:GHPKJHFE3T7GWCIMND3L7XAGCM

not attested not anchored not stored refs pending

On fermionic representation of the framed topological vertex

Fusheng Deng, Jian Zhou

arxiv:1111.0415 v2 · 2011-11-02 · 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{GHPKJHFE3T7GWCIMND3L7XAGCM}

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	2026-05-18T02:55:18.793877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31dea49ca4dcfe6b090c68f6bfdc061317c4980cfc50600baba853f77fb2a8d4

Aliases

arxiv: 1111.0415 · arxiv_version: 1111.0415v2 · doi: 10.48550/arxiv.1111.0415 · pith_short_12: GHPKJHFE3T7G · pith_short_16: GHPKJHFE3T7GWCIM · pith_short_8: GHPKJHFE

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/GHPKJHFE3T7GWCIMND3L7XAGCM \
  | 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: 31dea49ca4dcfe6b090c68f6bfdc061317c4980cfc50600baba853f77fb2a8d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6195afd714605190ebd85ef0d8552286458eb839df7a97028ba50c2100d933df",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-02T08:04:29Z",
    "title_canon_sha256": "2ef6ea715ddaf1c3dc2720a84bda4af6e17a31fd604d1745d8cafe735d83d691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0415",
    "kind": "arxiv",
    "version": 2
  }
}