Pith Number

pith:LSUXZITF

pith:2013:LSUXZITFIUN76HWNXVHSIMQJGG

not attested not anchored not stored refs pending

A challenge to 3-manifold topologists and group algebraists

Lauro D. Lins, Sostenes L. Lins

arxiv:1304.5964 v4 · 2013-04-18 · 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{LSUXZITFIUN76HWNXVHSIMQJGG}

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	2026-05-18T03:26:51.951738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ca97ca265451bff1ecdbd4f243209319508bfc5bc640ef99ea1f8437bac4f46

Aliases

arxiv: 1304.5964 · arxiv_version: 1304.5964v4 · doi: 10.48550/arxiv.1304.5964 · pith_short_12: LSUXZITFIUN7 · pith_short_16: LSUXZITFIUN76HWN · pith_short_8: LSUXZITF

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/LSUXZITFIUN76HWNXVHSIMQJGG \
  | 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: 5ca97ca265451bff1ecdbd4f243209319508bfc5bc640ef99ea1f8437bac4f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "720e94c2bca5c2482c955e897742ac2396dbb6f5bb08325428b84dca1f33a8c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-04-18T09:24:55Z",
    "title_canon_sha256": "72e81ddc64a0acaf8a439afed3b04ce6d03faee6c64b24e3359b3fde2a804fe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5964",
    "kind": "arxiv",
    "version": 4
  }
}