Pith Number

pith:E4CB2542

pith:2011:E4CB25427LGTDA6TUEAPBSDWVZ

not attested not anchored not stored refs pending

Stable Ulrich bundles

Marta Casanellas, Robin Hartshorne

arxiv:1102.0878 v3 · 2011-02-04 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4CB25427LGTDA6TUEAPBSDWVZ}

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	2026-05-18T04:22:49.786029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27041d779afacd3183d3a100f0c876ae7e2f6ad8d6697ee0c597677634f3a8d8

Aliases

arxiv: 1102.0878 · arxiv_version: 1102.0878v3 · doi: 10.48550/arxiv.1102.0878 · pith_short_12: E4CB25427LGT · pith_short_16: E4CB25427LGTDA6T · pith_short_8: E4CB2542

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/E4CB25427LGTDA6TUEAPBSDWVZ \
  | 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: 27041d779afacd3183d3a100f0c876ae7e2f6ad8d6697ee0c597677634f3a8d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a82bcba598f23d5239ddd51a72bd3a6e737b427d0a6347480ef97f9c7db0bcd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-04T11:18:22Z",
    "title_canon_sha256": "40e3d6d5ce5ceab14ec9e742b09c9f068c1d285b66c6bb22f8d63518b5e87843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0878",
    "kind": "arxiv",
    "version": 3
  }
}