Pith Number

pith:IY4JHNDX

pith:2010:IY4JHNDXF6B27AVLFPUMMFQ7AC

not attested not anchored not stored refs pending

A two-cocycle on the group of symplectic diffeomorphisms

Jarek K\k{e}dra, \'Swiatos{\l}aw R. Gal

arxiv:1010.0658 v5 · 2010-10-04 · 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{IY4JHNDXF6B27AVLFPUMMFQ7AC}

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	2026-05-18T03:50:37.755914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

463893b4772f83af82ab2be8c6161f00bb626fde5480bf39d7332d8592255760

Aliases

arxiv: 1010.0658 · arxiv_version: 1010.0658v5 · doi: 10.48550/arxiv.1010.0658 · pith_short_12: IY4JHNDXF6B2 · pith_short_16: IY4JHNDXF6B27AVL · pith_short_8: IY4JHNDX

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/IY4JHNDXF6B27AVLFPUMMFQ7AC \
  | 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: 463893b4772f83af82ab2be8c6161f00bb626fde5480bf39d7332d8592255760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad25db1135f9a1388dc47e03122602c4711f09abd7e181bc276cfd7369ce7ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-10-04T18:41:43Z",
    "title_canon_sha256": "ad26e934ef93cb45d681431661863ab0ea572ebefd905e58cb02011294b13926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0658",
    "kind": "arxiv",
    "version": 5
  }
}