Pith Number

pith:YPTJXS3Q

pith:2013:YPTJXS3QZFFNB5BGPQ2HULBSDC

not attested not anchored not stored refs pending

On a representation of the fundamental class of an ideal due to Lejeune-Jalabert

Elizabeth Wulcan

arxiv:1304.5447 v2 · 2013-04-19 · 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{YPTJXS3QZFFNB5BGPQ2HULBSDC}

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	2026-05-18T01:20:03.983714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e69bcb70c94ad0f4267c347a2c32188ab4b9ad795ebfabc9c4f1a39cf5c49a

Aliases

arxiv: 1304.5447 · arxiv_version: 1304.5447v2 · doi: 10.48550/arxiv.1304.5447 · pith_short_12: YPTJXS3QZFFN · pith_short_16: YPTJXS3QZFFNB5BG · pith_short_8: YPTJXS3Q

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/YPTJXS3QZFFNB5BGPQ2HULBSDC \
  | 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: c3e69bcb70c94ad0f4267c347a2c32188ab4b9ad795ebfabc9c4f1a39cf5c49a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93dce267963fdb3ae43c44f41ef47ae89a4914b6cf45f8969070317cbec06827",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-19T15:31:38Z",
    "title_canon_sha256": "dc4d0e18df81215c64ebab15839eb0e0ed4d6068aa32fe5a15d6af2550e7407e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5447",
    "kind": "arxiv",
    "version": 2
  }
}