Pith Number

pith:WBEVPBZC

pith:2009:WBEVPBZCOFTNCFLXZZ5GW6IW3N

not attested not anchored not stored refs pending

Tightness in contact metric 3-manifolds

John B. Etnyre, Patrick Massot, Rafal Komendarczyk

arxiv:0906.3487 v3 · 2009-06-18 · math.SG · math.DG · 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{WBEVPBZCOFTNCFLXZZ5GW6IW3N}

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	2026-05-18T01:33:24.768872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0495787227166d11577ce7a6b7916db5502395386bd4d6a42c99281f0e3f923

Aliases

arxiv: 0906.3487 · arxiv_version: 0906.3487v3 · doi: 10.48550/arxiv.0906.3487 · pith_short_12: WBEVPBZCOFTN · pith_short_16: WBEVPBZCOFTNCFLX · pith_short_8: WBEVPBZC

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/WBEVPBZCOFTNCFLXZZ5GW6IW3N \
  | 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: b0495787227166d11577ce7a6b7916db5502395386bd4d6a42c99281f0e3f923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f63b40e62a4e35e0ae9566a7914312dabedd966c3e5c966b21ef68f3c1b5523",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-06-18T17:48:37Z",
    "title_canon_sha256": "4b6d9581ebc91edd30ed7fe3748f656147aa23e9bcace1467d8ddc2d5881dd02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3487",
    "kind": "arxiv",
    "version": 3
  }
}