Pith Number

pith:NUNKGB32

pith:2012:NUNKGB32Q63CI6T3H3DL3N54EG

not attested not anchored not stored refs pending

Open books and the Weinstein conjecture

Hansj\"org Geiges, Kai Zehmisch, Max D\"orner

arxiv:1210.7947 v1 · 2012-10-30 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUNKGB32Q63CI6T3H3DL3N54EG}

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	2026-05-17T23:51:49.892051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d1aa3077a87b6247a7b3ec6bdb7bc21ac031998dfd33571545af82338bf0c8e

Aliases

arxiv: 1210.7947 · arxiv_version: 1210.7947v1 · doi: 10.48550/arxiv.1210.7947 · pith_short_12: NUNKGB32Q63C · pith_short_16: NUNKGB32Q63CI6T3 · pith_short_8: NUNKGB32

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/NUNKGB32Q63CI6T3H3DL3N54EG \
  | 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: 6d1aa3077a87b6247a7b3ec6bdb7bc21ac031998dfd33571545af82338bf0c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e56d1cfa4df1ebb77c82b139d5eea566c5f42955ed58f573d2ea7d908f39765",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-10-30T10:01:05Z",
    "title_canon_sha256": "a3c7a7d2d7caf97c6bece31d654c86c928a207e9dbc45b4e67cb537c31479c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7947",
    "kind": "arxiv",
    "version": 1
  }
}