Pith Number

pith:5ZBJKWAX

pith:2011:5ZBJKWAX4GVLBSPRY275BU7FSZ

not attested not anchored not stored refs pending

The Banks of the Cohomology River

David Eisenbud, Frank-Olaf Schreyer

arxiv:1109.4591 v1 · 2011-09-21 · 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{5ZBJKWAX4GVLBSPRY275BU7FSZ}

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	2026-05-18T02:29:25.558341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee42955817e1aab0c9f1c6bfd0d3e5967781d78ec6e1f554a0af14a2a3fee3ca

Aliases

arxiv: 1109.4591 · arxiv_version: 1109.4591v1 · doi: 10.48550/arxiv.1109.4591 · pith_short_12: 5ZBJKWAX4GVL · pith_short_16: 5ZBJKWAX4GVLBSPR · pith_short_8: 5ZBJKWAX

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/5ZBJKWAX4GVLBSPRY275BU7FSZ \
  | 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: ee42955817e1aab0c9f1c6bfd0d3e5967781d78ec6e1f554a0af14a2a3fee3ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee0b85b711fca463708daa1f7ca272184e5b6c0453d3bf832d5d4fd502444550",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-21T17:11:32Z",
    "title_canon_sha256": "75067d4d90e03dc6e3bed61255eb7169be3e21829effd3d461024c78ced6847c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4591",
    "kind": "arxiv",
    "version": 1
  }
}