Pith Number

pith:FBDVPHQ7

pith:2013:FBDVPHQ7JEXJFIETML5KHKOPED

not attested not anchored not stored refs pending

Closed exact Lagrangians in the symplectization of contact manifolds

Emmy Murphy

arxiv:1304.6620 v1 · 2013-04-24 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBDVPHQ7JEXJFIETML5KHKOPED}

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.

Cited by

1 paper in Pith

On orderability and the chord conjecture

Receipt and verification

First computed	2026-05-18T03:27:12.567561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2847579e1f492e92a09362faa3a9cf20ea9bad856e7bb774482498cad2b0610c

Aliases

arxiv: 1304.6620 · arxiv_version: 1304.6620v1 · doi: 10.48550/arxiv.1304.6620 · pith_short_12: FBDVPHQ7JEXJ · pith_short_16: FBDVPHQ7JEXJFIET · pith_short_8: FBDVPHQ7

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/FBDVPHQ7JEXJFIETML5KHKOPED \
  | 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: 2847579e1f492e92a09362faa3a9cf20ea9bad856e7bb774482498cad2b0610c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "564de1ff878337c60b440ed9119c1307aee13f072738b7815fbe02b9de99d7d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-04-24T15:11:11Z",
    "title_canon_sha256": "3e36f64996cffacbe006ff6b050903985512075030818064db0e73481e85dc29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6620",
    "kind": "arxiv",
    "version": 1
  }
}