Pith Number

pith:PLO5EVTG

pith:2008:PLO5EVTGUTPWWGYJ2W7XUKCOGE

not attested not anchored not stored refs pending

A cocycle on the group of symplectic diffeomorphisms

Jarek Kedra, Swiatoslaw R. Gal

arxiv:0807.1191 v2 · 2008-07-08 · math.SG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLO5EVTGUTPWWGYJ2W7XUKCOGE}

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	2026-05-18T04:29:44.698386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7addd25666a4df6b1b09d5bf7a284e3111c21e0944056b0266b2379aa28d9143

Aliases

arxiv: 0807.1191 · arxiv_version: 0807.1191v2 · doi: 10.48550/arxiv.0807.1191 · pith_short_12: PLO5EVTGUTPW · pith_short_16: PLO5EVTGUTPWWGYJ · pith_short_8: PLO5EVTG

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/PLO5EVTGUTPWWGYJ2W7XUKCOGE \
  | 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: 7addd25666a4df6b1b09d5bf7a284e3111c21e0944056b0266b2379aa28d9143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "603b139e7a3e1430bfe650fdb9613850a336b1a8a1d8d1614e7a855666f7d095",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-07-08T08:39:20Z",
    "title_canon_sha256": "2b9529f3a90e15b00056e320e54922d51d89d4492cd0bb54fb5bc7a1eb3d0d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1191",
    "kind": "arxiv",
    "version": 2
  }
}