Pith Number

pith:PL73P7AD

pith:2005:PL73P7ADD3ELCQ25DTOKWHGX7X

not attested not anchored not stored refs pending

Finite covers of random 3-manifolds

Nathan M. Dunfield, William P. Thurston

arxiv:math/0502567 v3 · 2005-02-27 · 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{PL73P7ADD3ELCQ25DTOKWHGX7X}

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	2026-07-04T16:56:27.628200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7affb7fc031ec8b1435d1cdcab1cd7fdf379d4f2a2675356b2490a6e319f45e3

Aliases

arxiv: math/0502567 · arxiv_version: math/0502567v3 · doi: 10.48550/arxiv.math/0502567 · pith_short_12: PL73P7ADD3EL · pith_short_16: PL73P7ADD3ELCQ25 · pith_short_8: PL73P7AD

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/PL73P7ADD3ELCQ25DTOKWHGX7X \
  | 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: 7affb7fc031ec8b1435d1cdcab1cd7fdf379d4f2a2675356b2490a6e319f45e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d418450c2bc8d11cae00639e72741f149aafb35e1c9856c25fb34207fe3333c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-02-27T19:49:00Z",
    "title_canon_sha256": "d225655874dc2a55e33347e190c32f187297e5af69e87636d4f81488ef55b69f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502567",
    "kind": "arxiv",
    "version": 3
  }
}