Pith Number

pith:ZTNNEYUT

pith:2004:ZTNNEYUTG5EI44YKQV7VDSGYR4

not attested not anchored not stored refs pending

On first order Congruences of Lines in $\mathbb{P}^4$ with irreducible fundamental Surface

Pietro De Poi

arxiv:math/0407340 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{ZTNNEYUTG5EI44YKQV7VDSGYR4}

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	2026-05-18T00:51:30.819015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccdad2629337488e730a857f51c8d88f049aaedd40a86dfd551d806ff302fd87

Aliases

arxiv: math/0407340 · arxiv_version: math/0407340v1 · doi: 10.48550/arxiv.math/0407340 · pith_short_12: ZTNNEYUTG5EI · pith_short_16: ZTNNEYUTG5EI44YK · pith_short_8: ZTNNEYUT

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/ZTNNEYUTG5EI44YKQV7VDSGYR4 \
  | 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: ccdad2629337488e730a857f51c8d88f049aaedd40a86dfd551d806ff302fd87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1208f8700e9071e0b02aabacd1aa46fbce1c92936dd5e6c54c86cdeca7eb9baf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-07-20T14:26:02Z",
    "title_canon_sha256": "6bc6655ec68a77a7c1cfff0f7a9fa0bb8de47a903ddba6216fb093136c39dd71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407340",
    "kind": "arxiv",
    "version": 1
  }
}