Pith Number

pith:I3OYWMVO

pith:2005:I3OYWMVOQBYGN3OWV43UZCKN6L

not attested not anchored not stored refs pending

Complete families of commuting functions for coisotropic Hamiltonian actions

E.B.Vinberg, O.S. Yakimova

arxiv:math/0511498 v3 · 2005-11-20 · 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{I3OYWMVOQBYGN3OWV43UZCKN6L}

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	2026-05-17T23:57:10.650735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46dd8b32ae807066edd6af374c894df2f5f5904000f759cd9a0abe7d4f92ee7b

Aliases

arxiv: math/0511498 · arxiv_version: math/0511498v3 · doi: 10.48550/arxiv.math/0511498 · pith_short_12: I3OYWMVOQBYG · pith_short_16: I3OYWMVOQBYGN3OW · pith_short_8: I3OYWMVO

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/I3OYWMVOQBYGN3OWV43UZCKN6L \
  | 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: 46dd8b32ae807066edd6af374c894df2f5f5904000f759cd9a0abe7d4f92ee7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "944842c155e877da6be91fdf91370d7ec92ec0beff11393ab1b28af64dc9d985",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2005-11-20T15:56:45Z",
    "title_canon_sha256": "9f8125d2a5763643352723ad2ceb96727b49227c7a010165ed4f17475f6d9e91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511498",
    "kind": "arxiv",
    "version": 3
  }
}