Pith Number

pith:IOHHJCNP

pith:2015:IOHHJCNPVVJLHAMBPQZHCS46S2

not attested not anchored not stored refs pending

Symplectic group and Heisenberg group in p-adic quantum mechanics

Sen Hu, Zhi Hu

arxiv:1502.01789 v2 · 2015-02-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOHHJCNPVVJLHAMBPQZHCS46S2}

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.

Cited by

1 paper in Pith

Darboux's Theorem in $p$-adic symplectic geometry

Receipt and verification

First computed	2026-05-18T02:27:00.472907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

438e7489afad52b381817c32714b9e969f813cd434d614981fac15cf7e8188bc

Aliases

arxiv: 1502.01789 · arxiv_version: 1502.01789v2 · doi: 10.48550/arxiv.1502.01789 · pith_short_12: IOHHJCNPVVJL · pith_short_16: IOHHJCNPVVJLHAMB · pith_short_8: IOHHJCNP

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/IOHHJCNPVVJLHAMBPQZHCS46S2 \
  | 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: 438e7489afad52b381817c32714b9e969f813cd434d614981fac15cf7e8188bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75715cfdcd6a14f49bd6b3a72aa1cc98b9bb790ca4aa6c82924583e8336f498a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-06T04:28:26Z",
    "title_canon_sha256": "e8b56aee6560d4538411f64b17578c8ab03e2ccf8dbfd950596bccd9326d2ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01789",
    "kind": "arxiv",
    "version": 2
  }
}