Pith Number

pith:3XSEPDHH

pith:2002:3XSEPDHHSFVSEPRHSNNLCHUAB7

not attested not anchored not stored refs pending

An algorithm to detect laminar 3-manifolds

Ian Agol, Tao Li

arxiv:math/0201310 v2 · 2002-01-31 · 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{3XSEPDHHSFVSEPRHSNNLCHUAB7}

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	2026-05-18T02:38:00.699362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde4478ce7916b223e27935ab11e800ff86c048ccc5b969d72a111ab43315c8f

Aliases

arxiv: math/0201310 · arxiv_version: math/0201310v2 · doi: 10.48550/arxiv.math/0201310 · pith_short_12: 3XSEPDHHSFVS · pith_short_16: 3XSEPDHHSFVSEPRH · pith_short_8: 3XSEPDHH

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/3XSEPDHHSFVSEPRHSNNLCHUAB7 \
  | 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: dde4478ce7916b223e27935ab11e800ff86c048ccc5b969d72a111ab43315c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c16fdb7226fb6000d302271edb669641afef14c42800b942f65cbffd4716b1c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-01-31T00:31:03Z",
    "title_canon_sha256": "dd8d8cd6ee754ccb8d2cb087ca75cf18224e46d3b976b4d393c01b5ce80e149f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201310",
    "kind": "arxiv",
    "version": 2
  }
}