Pith Number

pith:4L2MNJ2A

pith:2011:4L2MNJ2AQB7FP7QUFI3UBQRLK2

not attested not anchored not stored refs pending

Torsors over Luna strata

Ivan V. Arzhantsev

arxiv:1104.5581 v2 · 2011-04-29 · 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{4L2MNJ2AQB7FP7QUFI3UBQRLK2}

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	2026-05-18T03:18:18.831539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f4c6a740807e57fe142a3740c22b569fdfdc1ada25df49f92f213f790ad3c8

Aliases

arxiv: 1104.5581 · arxiv_version: 1104.5581v2 · doi: 10.48550/arxiv.1104.5581 · pith_short_12: 4L2MNJ2AQB7F · pith_short_16: 4L2MNJ2AQB7FP7QU · pith_short_8: 4L2MNJ2A

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/4L2MNJ2AQB7FP7QUFI3UBQRLK2 \
  | 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: e2f4c6a740807e57fe142a3740c22b569fdfdc1ada25df49f92f213f790ad3c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "126e8208515f1c591f6a09d820f30a4fb581f7e25bdfabf73959b9d59f6db398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-29T09:29:37Z",
    "title_canon_sha256": "ecbc604951371b6f5925a9339406677e94ce9f12f6091408a3248ba68f0af4e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5581",
    "kind": "arxiv",
    "version": 2
  }
}