Pith Number

pith:W3MB2XGQ

pith:2017:W3MB2XGQYZRSXXMUN3LARS5ZBA

not attested not anchored not stored refs pending

The circle transfer and cobordism categories

Jeffrey Giansiracusa

arxiv:1711.09433 v2 · 2017-11-26 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3MB2XGQYZRSXXMUN3LARS5ZBA}

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	2026-05-17T23:41:13.395012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d81d5cd0c6632bdd946ed608cbb908230feab4321484983f0e9e566573d4bb

Aliases

arxiv: 1711.09433 · arxiv_version: 1711.09433v2 · doi: 10.48550/arxiv.1711.09433 · pith_short_12: W3MB2XGQYZRS · pith_short_16: W3MB2XGQYZRSXXMU · pith_short_8: W3MB2XGQ

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/W3MB2XGQYZRSXXMUN3LARS5ZBA \
  | 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: b6d81d5cd0c6632bdd946ed608cbb908230feab4321484983f0e9e566573d4bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f8df1d48f10b8b12c48e5a2ede54fcc193f571f5d46aee13177a972cdbc1614",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-11-26T18:03:17Z",
    "title_canon_sha256": "ae833288efc2878264ee7045d3c5392d0d99c204740d54bbcb32c725b1b02893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09433",
    "kind": "arxiv",
    "version": 2
  }
}