Pith Number

pith:7THESW25

pith:2004:7THESW25OQ43QPCK2E52TDFB25

not attested not anchored not stored refs pending

Formal groups and stable homotopy of commutative rings

Stefan Schwede

arxiv:math/0402372 v1 · 2004-02-23 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7THESW25OQ43QPCK2E52TDFB25}

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	2026-05-18T02:38:00.162751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcce495b5d7439b83c4ad13ba98ca1d77700135e57f944ff52234208bca9e8c9

Aliases

arxiv: math/0402372 · arxiv_version: math/0402372v1 · doi: 10.48550/arxiv.math/0402372 · pith_short_12: 7THESW25OQ43 · pith_short_16: 7THESW25OQ43QPCK · pith_short_8: 7THESW25

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/7THESW25OQ43QPCK2E52TDFB25 \
  | 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: fcce495b5d7439b83c4ad13ba98ca1d77700135e57f944ff52234208bca9e8c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2fd421f87cf0d84d2de35a19d1601d8f1203d89b81511c397ef409fc3d19770",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-02-23T17:23:08Z",
    "title_canon_sha256": "993417df2885f99e4aa7bf45512ce96176658f2a99a95754ce0e8c531490cf97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402372",
    "kind": "arxiv",
    "version": 1
  }
}