Pith Number

pith:WUBO452R

pith:2014:WUBO452RUNN4KWNAHOXDQTH2SR

not attested not anchored not stored refs pending

The Morse-Bott-Kirwan condition is local

Tara Holm, Yael Karshon

arxiv:1407.3526 v2 · 2014-07-14 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUBO452RUNN4KWNAHOXDQTH2SR}

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	2026-05-18T00:59:49.550111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b502ee7751a35bc559a03bae384cfa947292b996173e3837a7ee7ea5e0559a72

Aliases

arxiv: 1407.3526 · arxiv_version: 1407.3526v2 · doi: 10.48550/arxiv.1407.3526 · pith_short_12: WUBO452RUNN4 · pith_short_16: WUBO452RUNN4KWNA · pith_short_8: WUBO452R

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/WUBO452RUNN4KWNAHOXDQTH2SR \
  | 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: b502ee7751a35bc559a03bae384cfa947292b996173e3837a7ee7ea5e0559a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d9b72c532eb44738026d971657927821dfae6db2f919a89f8a3398824470684",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-07-14T01:56:04Z",
    "title_canon_sha256": "fb1114f785e3511e4527dae7c2ed32691a9a31f23bb2e80593cf56d97ee79303"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3526",
    "kind": "arxiv",
    "version": 2
  }
}