Pith Number

pith:J4G747FV

pith:2011:J4G747FVVEGMBYD5HC7AEAW2WW

not attested not anchored not stored refs pending

Symplectic cobordisms and the strong Weinstein conjecture

Hansj\"org Geiges, Kai Zehmisch

arxiv:1109.1389 v2 · 2011-09-07 · 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{J4G747FVVEGMBYD5HC7AEAW2WW}

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	2026-05-17T23:51:44.893775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f0dfe7cb5a90cc0e07d38be0202dab580046bee3fbd94e85a36c9dfd4ff8a62

Aliases

arxiv: 1109.1389 · arxiv_version: 1109.1389v2 · doi: 10.48550/arxiv.1109.1389 · pith_short_12: J4G747FVVEGM · pith_short_16: J4G747FVVEGMBYD5 · pith_short_8: J4G747FV

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/J4G747FVVEGMBYD5HC7AEAW2WW \
  | 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: 4f0dfe7cb5a90cc0e07d38be0202dab580046bee3fbd94e85a36c9dfd4ff8a62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "809bb1a18a7f9577179071eec51ffbe545906ae29829c93f9752f2185dd39cf1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-09-07T08:34:39Z",
    "title_canon_sha256": "66f2f83ee06f4d1a4e181d516fc18e41dd9338c1ff711a8855a60228ed539f71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1389",
    "kind": "arxiv",
    "version": 2
  }
}