Pith Number

pith:PAD25ZAJ

pith:2010:PAD25ZAJN5SOVOIKO5CEWAJGQJ

not attested not anchored not stored refs pending

Functions on surfaces and incompressible subsurfaces

Sergiy Maksymenko

arxiv:1001.1346 v3 · 2010-01-08 · math.GT · 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{PAD25ZAJN5SOVOIKO5CEWAJGQJ}

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	2026-05-18T01:23:48.534044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7807aee4096f64eab90a77444b01268243c92ad0aa930e89ff102348498c32d7

Aliases

arxiv: 1001.1346 · arxiv_version: 1001.1346v3 · doi: 10.48550/arxiv.1001.1346 · pith_short_12: PAD25ZAJN5SO · pith_short_16: PAD25ZAJN5SOVOIK · pith_short_8: PAD25ZAJ

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/PAD25ZAJN5SOVOIKO5CEWAJGQJ \
  | 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: 7807aee4096f64eab90a77444b01268243c92ad0aa930e89ff102348498c32d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e7bc139e669c74c79bd7da97a3f35b9ee7a195df64fb7b0c83a12a97a12063",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-01-08T19:47:36Z",
    "title_canon_sha256": "179f0cecaa8e03b151746debd1aa03348a5213fc4c2332049395a556e4131e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1346",
    "kind": "arxiv",
    "version": 3
  }
}