Pith Number

pith:LJILYPLF

pith:2006:LJILYPLFHPVT4WZAO2LFBOSDDH

not attested not anchored not stored refs pending

A catalogue of orientable 3-manifolds triangulated by 30 coloured tetrahedra

M. R. Casali, P. Cristofori

arxiv:math/0606359 v1 · 2006-06-15 · 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{LJILYPLFHPVT4WZAO2LFBOSDDH}

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	2026-05-18T04:01:02.513161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a50bc3d653beb3e5b20769650ba4319d3b296d98fa2d83238a08205ef08504e

Aliases

arxiv: math/0606359 · arxiv_version: math/0606359v1 · doi: 10.48550/arxiv.math/0606359 · pith_short_12: LJILYPLFHPVT · pith_short_16: LJILYPLFHPVT4WZA · pith_short_8: LJILYPLF

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/LJILYPLFHPVT4WZAO2LFBOSDDH \
  | 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: 5a50bc3d653beb3e5b20769650ba4319d3b296d98fa2d83238a08205ef08504e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bc5a23ba3ddc2ad45494dd280cb33748488815b62bb830614a52bea91ef4298",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-06-15T13:17:47Z",
    "title_canon_sha256": "d96fa835721e3032d2ef4eb88bcee6125a5f6997ac8fd673940e2952b68fcdc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606359",
    "kind": "arxiv",
    "version": 1
  }
}