Pith Number

pith:H3HRCNLN

pith:1998:H3HRCNLNTPZJEP3YHQAP2RWPC3

not attested not anchored not stored refs pending

Descente pour les n-champs (Descent for n-stacks)

Andr\'e Hirschowitz, Carlos Simpson

arxiv:math/9807049 v3 · 1998-07-09 · math.AG · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3HRCNLNTPZJEP3YHQAP2RWPC3}

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	2026-07-04T14:40:43.476175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ecf11356d9bf2923f783c00fd46cf16d5bec744b73af0811051804536c07df4

Aliases

arxiv: math/9807049 · arxiv_version: math/9807049v3 · doi: 10.48550/arxiv.math/9807049 · pith_short_12: H3HRCNLNTPZJ · pith_short_16: H3HRCNLNTPZJEP3Y · pith_short_8: H3HRCNLN

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/H3HRCNLNTPZJEP3YHQAP2RWPC3 \
  | 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: 3ecf11356d9bf2923f783c00fd46cf16d5bec744b73af0811051804536c07df4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5668837eec0c60072dfad1955c9e0ddb096ce45f51db7cee3442ebbe24e28d42",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-07-09T16:53:42Z",
    "title_canon_sha256": "bb445fb10b58ab769ac5fc492fa6c5fc2a423d1b5907deb419273568b771c5c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9807049",
    "kind": "arxiv",
    "version": 3
  }
}