Pith Number

pith:56XFAAY2

pith:2007:56XFAAY2KSICV7IPKO2PSQNQ6F

not attested not anchored not stored refs pending

On matrix type corings, algebra coverings and Cech cohomology

Andrzej Sitarz

arxiv:0704.2697 v2 · 2007-04-20 · math.RA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56XFAAY2KSICV7IPKO2PSQNQ6F}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:16:31.609610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efae50031a54902afd0f53b4f941b0f1495bab66c9f41c5e8c98b568d1a0a902

Aliases

arxiv: 0704.2697 · arxiv_version: 0704.2697v2 · doi: 10.48550/arxiv.0704.2697 · pith_short_12: 56XFAAY2KSIC · pith_short_16: 56XFAAY2KSICV7IP · pith_short_8: 56XFAAY2

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/56XFAAY2KSICV7IPKO2PSQNQ6F \
  | 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: efae50031a54902afd0f53b4f941b0f1495bab66c9f41c5e8c98b568d1a0a902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "978d15c052724215dadc575d64b095028baab4a1c573ae772c461a51b473d499",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2007-04-20T12:31:33Z",
    "title_canon_sha256": "29daf14f9930a14240ab32ab24497ee48b180eca865dc3edd1874886c013452f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2697",
    "kind": "arxiv",
    "version": 2
  }
}