Pith Number

pith:AA2MSNAD

pith:2014:AA2MSNADKNZRW3C5PVPXQBH4HR

not attested not anchored not stored refs pending

Bounds for the genus of a normal surface

Jesse Johnson, Jonathan Spreer, Stephan Tillmann, William Jaco

arxiv:1411.6413 v1 · 2014-11-24 · 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{AA2MSNADKNZRW3C5PVPXQBH4HR}

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	2026-05-18T01:10:54.577217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0034c9340353731b6c5d7d5f7804fc3c6c36e3abf4b19c5f41a5955a2074748b

Aliases

arxiv: 1411.6413 · arxiv_version: 1411.6413v1 · doi: 10.48550/arxiv.1411.6413 · pith_short_12: AA2MSNADKNZR · pith_short_16: AA2MSNADKNZRW3C5 · pith_short_8: AA2MSNAD

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/AA2MSNADKNZRW3C5PVPXQBH4HR \
  | 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: 0034c9340353731b6c5d7d5f7804fc3c6c36e3abf4b19c5f41a5955a2074748b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a17bad5767330cfbcbdae42287da84d006d42f2ece9c49d83a136facbe31e56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-24T11:17:09Z",
    "title_canon_sha256": "8b5264c5a7b5978e36cdcff27e3067df087af298369b4d9d656e5a02289a430c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6413",
    "kind": "arxiv",
    "version": 1
  }
}