Pith Number

pith:AB4AXQBN

pith:2017:AB4AXQBNTEW4HDEKPE4TQ3GAKR

not attested not anchored not stored refs pending

Poisson brackets with prescribed family of functions in involution

Fani Petalidou

arxiv:1709.04705 v1 · 2017-09-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AB4AXQBNTEW4HDEKPE4TQ3GAKR}

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	2026-05-18T00:35:10.372240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00780bc02d992dc38c8a7939386cc054633f683e6f34ba368aaa281a0972a56f

Aliases

arxiv: 1709.04705 · arxiv_version: 1709.04705v1 · doi: 10.48550/arxiv.1709.04705 · pith_short_12: AB4AXQBNTEW4 · pith_short_16: AB4AXQBNTEW4HDEK · pith_short_8: AB4AXQBN

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/AB4AXQBNTEW4HDEKPE4TQ3GAKR \
  | 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: 00780bc02d992dc38c8a7939386cc054633f683e6f34ba368aaa281a0972a56f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1877e0bed55b26aed32e347ac55cf1fe6d122e33f5ca86656fd3cd0973c7f13a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-14T11:19:56Z",
    "title_canon_sha256": "46c5022e69a5dd6cd8730863ac205bd9dde122c75778a7ed7136545bf4bfa62d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04705",
    "kind": "arxiv",
    "version": 1
  }
}