Pith Number

pith:7TBF65D6

pith:2004:7TBF65D6DU7U46LJ26L6FAWWJS

not attested not anchored not stored refs pending

Implications of the Ganea Condition

Donald Stanley, Jeffrey Strom, Norio Iwase

arxiv:math/0410374 v2 · 2004-10-17 · 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{7TBF65D6DU7U46LJ26L6FAWWJS}

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	2026-05-18T02:41:32.256579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcc25f747e1d3f4e7969d797e282d64cbd9e243115910b445c1811bd9c098913

Aliases

arxiv: math/0410374 · arxiv_version: math/0410374v2 · doi: 10.48550/arxiv.math/0410374 · pith_short_12: 7TBF65D6DU7U · pith_short_16: 7TBF65D6DU7U46LJ · pith_short_8: 7TBF65D6

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/7TBF65D6DU7U46LJ26L6FAWWJS \
  | 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: fcc25f747e1d3f4e7969d797e282d64cbd9e243115910b445c1811bd9c098913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab65c8b39d9756ac13bcce334c91a7aeaf96136d8b2cb92fbb863d21539dce8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-10-17T18:25:10Z",
    "title_canon_sha256": "8513f1c0cb7940826b17a29c12672fabe37c2c25db028906a5459fff5574c69a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410374",
    "kind": "arxiv",
    "version": 2
  }
}