Pith Number

pith:3OKSMC4Z

pith:2012:3OKSMC4ZBHYLXXT2ZH6UHOM2MU

not attested not anchored not stored refs pending

Unknotting tunnels in hyperbolic 3-manifolds

Colin Adams, Karin Knudson

arxiv:1205.5239 v1 · 2012-05-23 · 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{3OKSMC4ZBHYLXXT2ZH6UHOM2MU}

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	2026-05-18T02:21:09.880940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db95260b9909f0bbde7ac9fd43b99a6507bf986939d11a8237c3d48069ecf589

Aliases

arxiv: 1205.5239 · arxiv_version: 1205.5239v1 · doi: 10.48550/arxiv.1205.5239 · pith_short_12: 3OKSMC4ZBHYL · pith_short_16: 3OKSMC4ZBHYLXXT2 · pith_short_8: 3OKSMC4Z

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/3OKSMC4ZBHYLXXT2ZH6UHOM2MU \
  | 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: db95260b9909f0bbde7ac9fd43b99a6507bf986939d11a8237c3d48069ecf589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c4cc2ea2f11d16417272e72a7863a5cfc68e35a5474ea96cc139d92d6b0fc48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-23T17:58:05Z",
    "title_canon_sha256": "ad60616f485d2a3310d4436f3ddb9dca08b7a5524e2e8b6c3d4eae69b918c21f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5239",
    "kind": "arxiv",
    "version": 1
  }
}