Pith Number

pith:OCKPAHSV

pith:2012:OCKPAHSVL7DLVNQR35E7AC2HGB

not attested not anchored not stored refs pending

Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic

Fan Ding, Otto van Koert, River Chiang

arxiv:1211.0201 v1 · 2012-11-01 · math.SG · 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{OCKPAHSVL7DLVNQR35E7AC2HGB}

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	2026-05-18T00:01:23.854346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7094f01e555fc6bab611df49f00b47304db4da3cf3bd70639eb77a4dd804c8cc

Aliases

arxiv: 1211.0201 · arxiv_version: 1211.0201v1 · doi: 10.48550/arxiv.1211.0201 · pith_short_12: OCKPAHSVL7DL · pith_short_16: OCKPAHSVL7DLVNQR · pith_short_8: OCKPAHSV

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/OCKPAHSVL7DLVNQR35E7AC2HGB \
  | 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: 7094f01e555fc6bab611df49f00b47304db4da3cf3bd70639eb77a4dd804c8cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f4d046d047aea5d9a87d23f17f326737a1676d5ac694983156b45ab6b3e353",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-11-01T15:17:58Z",
    "title_canon_sha256": "4ebdec3e41b2d3bf9cda69da958bb5d99ae39ec79c7795122593bc1134606d24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0201",
    "kind": "arxiv",
    "version": 1
  }
}