Pith Number

pith:PIHNS5GH

pith:2013:PIHNS5GHDR3VA7Y2CILT7WOMZA

not attested not anchored not stored refs pending

On Cohomology and vector bundles over monoid schmes

Ilia Pirashvili

arxiv:1308.5253 v2 · 2013-08-23 · 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{PIHNS5GHDR3VA7Y2CILT7WOMZA}

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	2026-05-18T02:59:08.603269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a0ed974c71c77507f1a12173fd9ccc81aecea92a626f081e0fdabdcd1247a71

Aliases

arxiv: 1308.5253 · arxiv_version: 1308.5253v2 · doi: 10.48550/arxiv.1308.5253 · pith_short_12: PIHNS5GHDR3V · pith_short_16: PIHNS5GHDR3VA7Y2 · pith_short_8: PIHNS5GH

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/PIHNS5GHDR3VA7Y2CILT7WOMZA \
  | 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: 7a0ed974c71c77507f1a12173fd9ccc81aecea92a626f081e0fdabdcd1247a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e1059a62e51e2be6587ed42555da5f7c3d75c8339fc166560b8f279af6b7e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-23T22:02:47Z",
    "title_canon_sha256": "c1b5af1cf0c7ce02e43ce597417a8c5e247845afa492dbfd171304f2ffa00556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5253",
    "kind": "arxiv",
    "version": 2
  }
}