Pith Number

pith:NU5YGGXU

pith:2014:NU5YGGXUSWUYZKEWRVTASJJDYD

not attested not anchored not stored refs pending

2-manifold recognition is in logspace

Arkadius Kalka, Benjamin A. Burton, Murray Elder, Stephan Tillmann

arxiv:1412.1188 v1 · 2014-12-03 · math.GT · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NU5YGGXUSWUYZKEWRVTASJJDYD}

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	2026-05-18T02:32:13.241574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d3b831af495a98ca8968d66092523c0c33de7d5d45babc94c6afd350b414c1a

Aliases

arxiv: 1412.1188 · arxiv_version: 1412.1188v1 · doi: 10.48550/arxiv.1412.1188 · pith_short_12: NU5YGGXUSWUY · pith_short_16: NU5YGGXUSWUYZKEW · pith_short_8: NU5YGGXU

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/NU5YGGXUSWUYZKEWRVTASJJDYD \
  | 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: 6d3b831af495a98ca8968d66092523c0c33de7d5d45babc94c6afd350b414c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36cfae3daafaf102af7a4d06a5d73cb9b95809725737f766b321a6dab198775",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-03T04:55:03Z",
    "title_canon_sha256": "fe53244ebf391d9975958495f8573518830f93a123fc77159a325358209c7d00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1188",
    "kind": "arxiv",
    "version": 1
  }
}