Pith Number

pith:ZYY4TPDR

pith:2015:ZYY4TPDRBMJWA37VCHGIXU4NNQ

not attested not anchored not stored refs pending

Permutation modules and Chow motives of geometrically rational surfaces

Stefan Gille

arxiv:1505.07819 v1 · 2015-05-28 · 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{ZYY4TPDRBMJWA37VCHGIXU4NNQ}

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	2026-05-18T02:00:55.754280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce31c9bc710b13606ff511cc8bd38d6c07e496472937eb19abdd1fe2c255c52b

Aliases

arxiv: 1505.07819 · arxiv_version: 1505.07819v1 · doi: 10.48550/arxiv.1505.07819 · pith_short_12: ZYY4TPDRBMJW · pith_short_16: ZYY4TPDRBMJWA37V · pith_short_8: ZYY4TPDR

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/ZYY4TPDRBMJWA37VCHGIXU4NNQ \
  | 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: ce31c9bc710b13606ff511cc8bd38d6c07e496472937eb19abdd1fe2c255c52b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a9884bc2c4640b558dd2c875c090c0efeab71388b7821b721497c6204fa35c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-28T19:37:43Z",
    "title_canon_sha256": "cfa48f16cb4167e8a017a7b4cf8bbd230e44789487bc4ec126e2dd1bc9ab2013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07819",
    "kind": "arxiv",
    "version": 1
  }
}