Pith Number

pith:FJ4BYDOV

pith:2004:FJ4BYDOVGDZ6JLQCFD3LGEF42G

not attested not anchored not stored refs pending

The disjoint curve property

Saul Schleimer

arxiv:math/0401399 v1 · 2004-01-28 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJ4BYDOVGDZ6JLQCFD3LGEF42G}

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	2026-05-18T02:38:00.174895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a781c0dd530f3e4ae0228f6b310bcd18d24a5695d4d8773e56fc7662438f0b4

Aliases

arxiv: math/0401399 · arxiv_version: math/0401399v1 · doi: 10.48550/arxiv.math/0401399 · pith_short_12: FJ4BYDOVGDZ6 · pith_short_16: FJ4BYDOVGDZ6JLQC · pith_short_8: FJ4BYDOV

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/FJ4BYDOVGDZ6JLQCFD3LGEF42G \
  | 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: 2a781c0dd530f3e4ae0228f6b310bcd18d24a5695d4d8773e56fc7662438f0b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebeac51f64339542ca3ed554a0277eb26e7de636b69fed16febe2da7b9bae8dc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-01-28T16:20:48Z",
    "title_canon_sha256": "5ccfcd87ad5ea93c540c82641181692b40b0823a41875b7c386445d4f429ed92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401399",
    "kind": "arxiv",
    "version": 1
  }
}