Pith Number

pith:HD2WAFSX

pith:2019:HD2WAFSXTDG3WVIQ7OEPMTWUN7

not attested not anchored not stored refs pending

Global group laws and equivariant bordism rings

Markus Hausmann

arxiv:1912.07583 v2 · 2019-12-16 · math.AT · math.AG · 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{HD2WAFSXTDG3WVIQ7OEPMTWUN7}

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	2026-07-05T03:54:16.821829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38f560165798cdbb5510fb88f64ed46ffcf716fe91b96654d775dbc4f23ad1ae

Aliases

arxiv: 1912.07583 · arxiv_version: 1912.07583v2 · doi: 10.48550/arxiv.1912.07583 · pith_short_12: HD2WAFSXTDG3 · pith_short_16: HD2WAFSXTDG3WVIQ · pith_short_8: HD2WAFSX

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/HD2WAFSXTDG3WVIQ7OEPMTWUN7 \
  | 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: 38f560165798cdbb5510fb88f64ed46ffcf716fe91b96654d775dbc4f23ad1ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18bc33c6284b7b19364298e1928eb2f58ab33f842bb34df5a5e1b3d453b018ca",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-12-16T18:55:32Z",
    "title_canon_sha256": "63e9c47d3ff4b1163621ee4378609f73efd83f5751ccf77bdac0139e06969305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07583",
    "kind": "arxiv",
    "version": 2
  }
}