Pith Number

pith:4RIDSY7Z

pith:2010:4RIDSY7ZDWBHKHJ5VUMHGX43DR

not attested not anchored not stored refs pending

On canonical bundle formulae and subadjunctions

Osamu Fujino, Yoshinori Gongyo

arxiv:1009.3996 v1 · 2010-09-21 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RIDSY7ZDWBHKHJ5VUMHGX43DR}

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	2026-05-18T04:40:34.745475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4503963f91d82751d3dad18735f9b1c6116340e3c3f5301e1bc74cce160dbad

Aliases

arxiv: 1009.3996 · arxiv_version: 1009.3996v1 · doi: 10.48550/arxiv.1009.3996 · pith_short_12: 4RIDSY7ZDWBH · pith_short_16: 4RIDSY7ZDWBHKHJ5 · pith_short_8: 4RIDSY7Z

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/4RIDSY7ZDWBHKHJ5VUMHGX43DR \
  | 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: e4503963f91d82751d3dad18735f9b1c6116340e3c3f5301e1bc74cce160dbad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a4dd1597f3b5cf22ae868998ad731087a6f04f7ce5096efee4b011fdfbdc5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-21T05:20:23Z",
    "title_canon_sha256": "5a39688679cecf32058272a8db55d7988d03f3962bfecf147b649ae76332a0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3996",
    "kind": "arxiv",
    "version": 1
  }
}