Pith Number

pith:CR6GJ2HD

pith:2005:CR6GJ2HDQOOYOQ2QP65LRNWG25

not attested not anchored not stored refs pending

Q.E.D. for algebraic varieties

Fabrizio Catanese (Universitaet Bayreuth)

arxiv:math/0509725 v1 · 2005-09-30 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CR6GJ2HDQOOYOQ2QP65LRNWG25}

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	2026-05-18T01:05:23.041237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

147c64e8e3839d8743507fbab8b6c6d774fc533dd0052f84c313255ea0303fb9

Aliases

arxiv: math/0509725 · arxiv_version: math/0509725v1 · doi: 10.48550/arxiv.math/0509725 · pith_short_12: CR6GJ2HDQOOY · pith_short_16: CR6GJ2HDQOOYOQ2Q · pith_short_8: CR6GJ2HD

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/CR6GJ2HDQOOYOQ2QP65LRNWG25 \
  | 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: 147c64e8e3839d8743507fbab8b6c6d774fc533dd0052f84c313255ea0303fb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c36a6507c98fd8627ffd060e53029eeab0bbaf44e6b0d5d9bea9b1bb54ce7c5a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-09-30T15:24:39Z",
    "title_canon_sha256": "8c776e3070941427de407acef209a089cbe6476d655428ad9b88f7d259ee63ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509725",
    "kind": "arxiv",
    "version": 1
  }
}