Pith Number

pith:CJL7OJ5Y

pith:2014:CJL7OJ5YAHD6647BBU2XW5TUXA

not attested not anchored not stored refs pending

Statistics of Random 3-Manifolds occasionally fibering over the circle

Igor Rivin

arxiv:1401.5736 v4 · 2014-01-22 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJL7OJ5YAHD6647BBU2XW5TUXA}

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	2026-05-18T02:52:57.861295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1257f727b801c7ef73e10d357b7674b81d0fa628cc6b3e3863f4f6a2411b2017

Aliases

arxiv: 1401.5736 · arxiv_version: 1401.5736v4 · doi: 10.48550/arxiv.1401.5736 · pith_short_12: CJL7OJ5YAHD6 · pith_short_16: CJL7OJ5YAHD6647B · pith_short_8: CJL7OJ5Y

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/CJL7OJ5YAHD6647BBU2XW5TUXA \
  | 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: 1257f727b801c7ef73e10d357b7674b81d0fa628cc6b3e3863f4f6a2411b2017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b91542563c1b58e2708b72889346a188ea15f8e843e2da79145261d4475bd201",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-01-22T17:23:47Z",
    "title_canon_sha256": "f8cd16ac3d1846720f669b2d9b2a841aa75b191231723faa8e61199e22d9bb8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5736",
    "kind": "arxiv",
    "version": 4
  }
}