Pith Number

pith:5IZFIJUR

pith:2004:5IZFIJURUZOBE3M756A234PSBV

not attested not anchored not stored refs pending

Congruences of Lines with one-dimensional focal locus

Pietro De Poi

arxiv:math/0407339 v1 · 2004-07-20 · 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{5IZFIJURUZOBE3M756A234PSBV}

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	2026-05-18T00:51:30.827608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea32542691a65c126d9fef81adf1f20d539a13a57ea08434029d05f654a23735

Aliases

arxiv: math/0407339 · arxiv_version: math/0407339v1 · doi: 10.48550/arxiv.math/0407339 · pith_short_12: 5IZFIJURUZOB · pith_short_16: 5IZFIJURUZOBE3M7 · pith_short_8: 5IZFIJUR

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/5IZFIJURUZOBE3M756A234PSBV \
  | 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: ea32542691a65c126d9fef81adf1f20d539a13a57ea08434029d05f654a23735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c762888dd89ec6b515e006e092b752cba75aa9e70203f5fcd521990e5c7eaa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-07-20T13:54:21Z",
    "title_canon_sha256": "2a18ee54c2a8cedaace07b09e9fd155b87d7b1f0ed3d3d9b079d25e067892552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407339",
    "kind": "arxiv",
    "version": 1
  }
}