Pith Number

pith:56CFJJJ2

pith:2017:56CFJJJ2SBD3OE5OLHIUQFDZNB

not attested not anchored not stored refs pending

Normes de droites sur les surfaces cubiques

Daniel Loughran, Jean-Louis Colliot-Th\'el\`ene

arxiv:1704.05109 v3 · 2017-04-17 · 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{56CFJJJ2SBD3OE5OLHIUQFDZNB}

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	2026-05-18T00:16:03.230950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef8454a53a9047b713ae59d148147968686e579643e15e1018776ee8cc1c137b

Aliases

arxiv: 1704.05109 · arxiv_version: 1704.05109v3 · doi: 10.48550/arxiv.1704.05109 · pith_short_12: 56CFJJJ2SBD3 · pith_short_16: 56CFJJJ2SBD3OE5O · pith_short_8: 56CFJJJ2

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/56CFJJJ2SBD3OE5OLHIUQFDZNB \
  | 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: ef8454a53a9047b713ae59d148147968686e579643e15e1018776ee8cc1c137b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8dad76be7211cffd6767adbde4344c27b0f8694a6c9b6abdd770ffbc1c2f827",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-04-17T19:58:14Z",
    "title_canon_sha256": "d174cc6a977871ec2c2f7f7bb56f64184a7e11777146dbc086121551a122376c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05109",
    "kind": "arxiv",
    "version": 3
  }
}