Pith Number

pith:A6SCR4YN

pith:2000:A6SCR4YN67BJFBKQ4ZH45XX2TV

not attested not anchored not stored refs pending

Koszul duality and equivalences of categories

Gunnar Floystad

arxiv:math/0012264 v2 · 2000-12-29 · math.RA · 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{A6SCR4YN67BJFBKQ4ZH45XX2TV}

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	2026-05-18T04:06:31.650418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07a428f30df7c2928550e64fcedefa9d4c54a6bdbb62c64e611031229143ea35

Aliases

arxiv: math/0012264 · arxiv_version: math/0012264v2 · doi: 10.48550/arxiv.math/0012264 · pith_short_12: A6SCR4YN67BJ · pith_short_16: A6SCR4YN67BJFBKQ · pith_short_8: A6SCR4YN

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/A6SCR4YN67BJFBKQ4ZH45XX2TV \
  | 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: 07a428f30df7c2928550e64fcedefa9d4c54a6bdbb62c64e611031229143ea35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "280f230e0e8b95a9ecb283adac13c2493909cb2f82e982ea6012c5df3f1506b1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2000-12-29T13:21:37Z",
    "title_canon_sha256": "349c6410c7688ab3c23c53cf52c5ed00e8f5da932f8ed93c6ec4c995a89f9875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012264",
    "kind": "arxiv",
    "version": 2
  }
}