Pith Number

pith:SHPQEVA5

pith:2011:SHPQEVA5HIXZPOJWOOMEBTFMXD

not attested not anchored not stored refs pending

Poisson brackets and symplectic invariants

Leonid Polterovich, Lev Buhovsky, Michael Entov

arxiv:1103.3198 v2 · 2011-03-16 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHPQEVA5HIXZPOJWOOMEBTFMXD}

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	2026-05-18T02:22:18.780551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91df02541d3a2f97b936739840ccacb8fb57ee69bd45b5c283f122ad4ae1cb58

Aliases

arxiv: 1103.3198 · arxiv_version: 1103.3198v2 · doi: 10.48550/arxiv.1103.3198 · pith_short_12: SHPQEVA5HIXZ · pith_short_16: SHPQEVA5HIXZPOJW · pith_short_8: SHPQEVA5

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/SHPQEVA5HIXZPOJWOOMEBTFMXD \
  | 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: 91df02541d3a2f97b936739840ccacb8fb57ee69bd45b5c283f122ad4ae1cb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c4f187c446c92b5e4faac56441b6b04151c0a18110ba643a3255e501b43445c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-03-16T15:24:56Z",
    "title_canon_sha256": "703df536506c6c1bd4b716fe9a7c9862e931bf8304b1148a0f93ded35ddf8bba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3198",
    "kind": "arxiv",
    "version": 2
  }
}