Pith Number

pith:KUCPMCYF

pith:2012:KUCPMCYFD4X5M7DYO6VNROMFES

not attested not anchored not stored refs pending

Computational topology and normal surfaces: Theoretical and experimental complexity bounds

Benjamin A. Burton, Jo\~ao Paix\~ao, Jonathan Spreer

arxiv:1211.3234 v1 · 2012-11-14 · math.GT · cs.CG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUCPMCYFD4X5M7DYO6VNROMFES}

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	2026-05-18T00:02:36.990994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5504f60b051f2fd67c7877aad8b98524889529958a3803cb09dc6c5bc39b62d6

Aliases

arxiv: 1211.3234 · arxiv_version: 1211.3234v1 · doi: 10.48550/arxiv.1211.3234 · pith_short_12: KUCPMCYFD4X5 · pith_short_16: KUCPMCYFD4X5M7DY · pith_short_8: KUCPMCYF

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/KUCPMCYFD4X5M7DYO6VNROMFES \
  | 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: 5504f60b051f2fd67c7877aad8b98524889529958a3803cb09dc6c5bc39b62d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3fbf5ccc86fee97f03e94546ce6bfab266d4fa3fb238bf88d9993ea3c120c0d",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-14T08:23:03Z",
    "title_canon_sha256": "61a4bc27eb1cc34d222c2a37ae4d8681f00dcee36c85d88ff43cf56d55eb6225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3234",
    "kind": "arxiv",
    "version": 1
  }
}