Pith Number

pith:AOV6MUKU

pith:2014:AOV6MUKUBYNY4YAHKRZ6AF3N3B

not attested not anchored not stored refs pending

Random methods in 3-manifold theory

Alexander Lubotzky, Conan Wu, Joseph Maher

arxiv:1405.6410 v1 · 2014-05-25 · math.GT · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOV6MUKUBYNY4YAHKRZ6AF3N3B}

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	2026-05-18T02:51:07.357834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03abe651540e1b8e60075473e0176dd86ea5136cfe5098236a2250ab42ffabac

Aliases

arxiv: 1405.6410 · arxiv_version: 1405.6410v1 · doi: 10.48550/arxiv.1405.6410 · pith_short_12: AOV6MUKUBYNY · pith_short_16: AOV6MUKUBYNY4YAH · pith_short_8: AOV6MUKU

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/AOV6MUKUBYNY4YAHKRZ6AF3N3B \
  | 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: 03abe651540e1b8e60075473e0176dd86ea5136cfe5098236a2250ab42ffabac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31d59347ba12fbe91f5f7f98ed01ec8a38d6d29ec17a830b12497b3f0eae2d83",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-05-25T17:59:17Z",
    "title_canon_sha256": "c4b589983cac7fde8022afad39fe2f8d5d3b384a9cbba881c3061cd8770aa891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6410",
    "kind": "arxiv",
    "version": 1
  }
}