Pith Number

pith:FPUN336T

pith:2015:FPUN336TUA43S2VJNITPAGGQSX

not attested not anchored not stored refs pending

Haefliger structures and symplectic/contact structures

Francois Laudenbach (LMJL), Gael Meigniez

arxiv:1502.06578 v3 · 2015-02-23 · math.GT · 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{FPUN336TUA43S2VJNITPAGGQSX}

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	2026-05-18T01:20:03.729529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2be8ddefd3a039b96aa96a26f018d095e863ae61f554b2b34dd7b38de20dd9d9

Aliases

arxiv: 1502.06578 · arxiv_version: 1502.06578v3 · doi: 10.48550/arxiv.1502.06578 · pith_short_12: FPUN336TUA43 · pith_short_16: FPUN336TUA43S2VJ · pith_short_8: FPUN336T

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/FPUN336TUA43S2VJNITPAGGQSX \
  | 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: 2be8ddefd3a039b96aa96a26f018d095e863ae61f554b2b34dd7b38de20dd9d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d3ad7ab4d5adf3a6e8b1f95fe03673079048d7a55c0b0608eef92200225e6e9",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-23T20:14:53Z",
    "title_canon_sha256": "11c9a2c0cccfd2fde4c651d45d76f100dabdce0613a783ce52e4b6cf1a79b1bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06578",
    "kind": "arxiv",
    "version": 3
  }
}