Pith Number

pith:WKH6V5G4

pith:2012:WKH6V5G4W2MK73PX7VSGC5ZTPV

not attested not anchored not stored refs pending

Quantitative Darboux theorems in contact geometry

John B. Etnyre, Patrick Massot, Rafal Komendarczyk

arxiv:1206.1218 v2 · 2012-06-06 · 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{WKH6V5G4W2MK73PX7VSGC5ZTPV}

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	2026-05-18T00:57:32.245155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28feaf4dcb698afedf7fd646177337d5a127f624cf9b97dd61daf1d02dba99b

Aliases

arxiv: 1206.1218 · arxiv_version: 1206.1218v2 · doi: 10.48550/arxiv.1206.1218 · pith_short_12: WKH6V5G4W2MK · pith_short_16: WKH6V5G4W2MK73PX · pith_short_8: WKH6V5G4

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/WKH6V5G4W2MK73PX7VSGC5ZTPV \
  | 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: b28feaf4dcb698afedf7fd646177337d5a127f624cf9b97dd61daf1d02dba99b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af76a0a03a7b1fb78398b1afa46e94dd3becea47917e4de516f9ecf849ca903",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-06-06T13:29:01Z",
    "title_canon_sha256": "af0d58845a02cb065b9d987d2af727fdef4237b8fa24f7c0cee16fb1c600077d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1218",
    "kind": "arxiv",
    "version": 2
  }
}