Pith Number

pith:AWTGT776

pith:2012:AWTGT776CO6KCATGYECP326BXW

not attested not anchored not stored refs pending

Spin Hurwitz numbers and topological quantum field theory

Sam Gunningham

arxiv:1201.1273 v3 · 2012-01-05 · math.QA · math.AG · math.AT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWTGT776CO6KCATGYECP326BXW}

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	2026-05-18T01:04:14.991778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a669fffe13bca10266c104fdebc1bd9af483f3635e9e9c2ecd31436f381465

Aliases

arxiv: 1201.1273 · arxiv_version: 1201.1273v3 · doi: 10.48550/arxiv.1201.1273 · pith_short_12: AWTGT776CO6K · pith_short_16: AWTGT776CO6KCATG · pith_short_8: AWTGT776

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/AWTGT776CO6KCATGYECP326BXW \
  | 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: 05a669fffe13bca10266c104fdebc1bd9af483f3635e9e9c2ecd31436f381465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1547041256b45084f91f7a616c850f87be3651d5fba5046428b77f7e1866699",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-01-05T19:51:14Z",
    "title_canon_sha256": "738398ec0690f8fcfa013d08a8d296ccfe1302f9b941f45f6750da09c5a53f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1273",
    "kind": "arxiv",
    "version": 3
  }
}