Pith Number

pith:PKZYO5DD

pith:2009:PKZYO5DDOIT7PYDD7B6MKTDQNV

not attested not anchored not stored refs pending

Algebraic cones

Vladimir L. Popov

arxiv:0908.1183 v1 · 2009-08-08 · 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{PKZYO5DDOIT7PYDD7B6MKTDQNV}

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	2026-05-18T04:10:23.887649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab38774637227f7e063f87cc54c706d4768c7ec5372b63d53ec05223cc553f0

Aliases

arxiv: 0908.1183 · arxiv_version: 0908.1183v1 · doi: 10.48550/arxiv.0908.1183 · pith_short_12: PKZYO5DDOIT7 · pith_short_16: PKZYO5DDOIT7PYDD · pith_short_8: PKZYO5DD

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/PKZYO5DDOIT7PYDD7B6MKTDQNV \
  | 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: 7ab38774637227f7e063f87cc54c706d4768c7ec5372b63d53ec05223cc553f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e565568adf7598ffc7c142b32aa00bd3c8e750cd9d2f0e213f7aab344eb55bd7",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-08-08T18:58:44Z",
    "title_canon_sha256": "91c11d38aa740ce83976d9c5e0e5515810b2b93976a5d451143ea7e0bdf9b937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1183",
    "kind": "arxiv",
    "version": 1
  }
}