Pith Number

pith:HKTFHGBM

pith:2005:HKTFHGBMDEVRQCEX6JXNYUWYSD

not attested not anchored not stored refs pending

Under Spec Z

Bertrand Toen, Michel Vaquie

arxiv:math/0509684 v4 · 2005-09-29 · math.AG · 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{HKTFHGBMDEVRQCEX6JXNYUWYSD}

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	2026-05-18T04:08:53.776106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aa653982c192b180897f26edc52d890f5d8db99bb24cca2f9a0e4d1c7187938

Aliases

arxiv: math/0509684 · arxiv_version: math/0509684v4 · doi: 10.48550/arxiv.math/0509684 · pith_short_12: HKTFHGBMDEVR · pith_short_16: HKTFHGBMDEVRQCEX · pith_short_8: HKTFHGBM

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/HKTFHGBMDEVRQCEX6JXNYUWYSD \
  | 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: 3aa653982c192b180897f26edc52d890f5d8db99bb24cca2f9a0e4d1c7187938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f468b157e7aa9b03683f22968b2b00bd1badfa2b13d33e736a58b61158776e62",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-09-29T09:55:14Z",
    "title_canon_sha256": "0b0f15ef35c677c5a28e7921c3185efc00841f7b391b8fa53aca31531a94467f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509684",
    "kind": "arxiv",
    "version": 4
  }
}