Pith Number

pith:7COWAYIL

pith:1998:7COWAYILUDM5RWIBGLHFX325JW

not attested not anchored not stored refs pending

Monoidal model categories

Mark Hovey

arxiv:math/9803002 v1 · 1998-02-28 · 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{7COWAYILUDM5RWIBGLHFX325JW}

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	2026-07-04T14:40:28.047105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f89d60610ba0d9d8d90132ce5bef5d4d9ead4eb7bbbf584b0342533fa625dc6a

Aliases

arxiv: math/9803002 · arxiv_version: math/9803002v1 · doi: 10.48550/arxiv.math/9803002 · pith_short_12: 7COWAYILUDM5 · pith_short_16: 7COWAYILUDM5RWIB · pith_short_8: 7COWAYIL

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/7COWAYILUDM5RWIBGLHFX325JW \
  | 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: f89d60610ba0d9d8d90132ce5bef5d4d9ead4eb7bbbf584b0342533fa625dc6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c74f0830b699d4717abec41edcbb060932d76b1a434d042dbd3d94cac032f032",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "1998-02-28T13:31:41Z",
    "title_canon_sha256": "53cc05bfb739b2d9f8f97b4094cbb45e6ef229aed8a9163635f9e5eaab5c6e24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803002",
    "kind": "arxiv",
    "version": 1
  }
}