Pith Number

pith:NA6O4BAK

pith:2012:NA6O4BAKIACMX2Z7L5KOIWKHOK

not attested not anchored not stored refs pending

Classification of compact real surfaces: a quick proof

Maurizio Cailotto

arxiv:1204.5658 v1 · 2012-04-25 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NA6O4BAKIACMX2Z7L5KOIWKHOK}

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	2026-05-18T03:57:01.737609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

683cee040a4004cbeb3f5f54e45947729d11220e53570931bfd70badafe0c330

Aliases

arxiv: 1204.5658 · arxiv_version: 1204.5658v1 · doi: 10.48550/arxiv.1204.5658 · pith_short_12: NA6O4BAKIACM · pith_short_16: NA6O4BAKIACMX2Z7 · pith_short_8: NA6O4BAK

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/NA6O4BAKIACMX2Z7L5KOIWKHOK \
  | 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: 683cee040a4004cbeb3f5f54e45947729d11220e53570931bfd70badafe0c330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69057709c9f4c304d04337f72c02d34764c4eb84c0bd77183d02564cb8f4a8c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-04-25T13:52:20Z",
    "title_canon_sha256": "e33f69042a7946a4a769e80a8e3a2fcd8c3af1aad7969dedad7f14b395d3d653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5658",
    "kind": "arxiv",
    "version": 1
  }
}