Pith Number

pith:CFK67XER

pith:2007:CFK67XERD5RUT65CQ67WPSU3RD

not attested not anchored not stored refs pending

Koszul complexes and fully faithful integral functors

Fernando Sancho de Salas

arxiv:0712.0261 v1 · 2007-12-03 · 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{CFK67XERD5RUT65CQ67WPSU3RD}

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	2026-05-18T02:58:12.004622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1155efdc911f6349fba287bf67ca9b88db9b639dff04f2a703e0665cbe67124c

Aliases

arxiv: 0712.0261 · arxiv_version: 0712.0261v1 · doi: 10.48550/arxiv.0712.0261 · pith_short_12: CFK67XERD5RU · pith_short_16: CFK67XERD5RUT65C · pith_short_8: CFK67XER

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/CFK67XERD5RUT65CQ67WPSU3RD \
  | 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: 1155efdc911f6349fba287bf67ca9b88db9b639dff04f2a703e0665cbe67124c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a5b9e0062d229ebe3e78d224c063b5bcb69b54341de9eb3b0ac5d92aea322b1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-12-03T11:39:51Z",
    "title_canon_sha256": "b79ad022efbebfd57c55f9cbdd80977afca592118cb9c3c8abc515f5f50e3bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0261",
    "kind": "arxiv",
    "version": 1
  }
}