Pith Number

pith:GBRGPJPU

pith:1992:GBRGPJPU36MCVJOJBMU4NWU5G4

not attested not anchored not stored refs pending

Symplectic Geometries on $T^*\widetilde{G}$, Hamiltonian Group Actions and Integrable Systems

B. A. Kupershmidt, John Harnad

arxiv:hep-th/9210095 v2 · 1992-10-17 · hep-th · math.QA · 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{GBRGPJPU36MCVJOJBMU4NWU5G4}

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	2026-05-18T02:41:01.855738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

306267a5f4df982aa5c90b29c6da9d370954564acf9837244c3a06e1820dff28

Aliases

arxiv: hep-th/9210095 · arxiv_version: hep-th/9210095v2 · doi: 10.48550/arxiv.hep-th/9210095 · pith_short_12: GBRGPJPU36MC · pith_short_16: GBRGPJPU36MCVJOJ · pith_short_8: GBRGPJPU

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/GBRGPJPU36MCVJOJBMU4NWU5G4 \
  | 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: 306267a5f4df982aa5c90b29c6da9d370954564acf9837244c3a06e1820dff28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2277ae876067275fef2df2225dd4c2979c9999ee804a3defddde2e0d58660f18",
    "cross_cats_sorted": [
      "math.QA",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1992-10-17T01:48:16Z",
    "title_canon_sha256": "ef7c0460b54116250a705b8ed415c32d2ea97f5699769296ff16ce58dc7220b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9210095",
    "kind": "arxiv",
    "version": 2
  }
}