Pith Number

pith:6UD2PWYN

pith:2011:6UD2PWYNBOULV3MR75JLZBJ77E

not attested not anchored not stored refs pending

Computing Cohomology on Toric Varieties

Benjamin Jurke

arxiv:1109.1571 v1 · 2011-09-07 · math.AG · hep-th · 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{6UD2PWYNBOULV3MR75JLZBJ77E}

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	2026-05-18T03:41:32.322485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f507a7db0d0ba8baed91ff52bc853ff91fc7e7fdb72bcea8e0ad78353f5b2481

Aliases

arxiv: 1109.1571 · arxiv_version: 1109.1571v1 · doi: 10.48550/arxiv.1109.1571 · pith_short_12: 6UD2PWYNBOUL · pith_short_16: 6UD2PWYNBOULV3MR · pith_short_8: 6UD2PWYN

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/6UD2PWYNBOULV3MR75JLZBJ77E \
  | 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: f507a7db0d0ba8baed91ff52bc853ff91fc7e7fdb72bcea8e0ad78353f5b2481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4292b423ec1fabca991fec0ec0e943f8d9ea167022adf97a777ec7d974f08750",
    "cross_cats_sorted": [
      "hep-th",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-07T20:24:04Z",
    "title_canon_sha256": "cc5c54524c721fe285ca018654542975a248dbdbb6c0d49b76173e487f25ebad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1571",
    "kind": "arxiv",
    "version": 1
  }
}