Pith Number

pith:PCI7EXZY

pith:2012:PCI7EXZYUTBYW4UG6TDDNKX4YC

not attested not anchored not stored refs pending

Coadjoint Orbits and Wigner functions of (1+1)-Extended Affine Galilei Group and Galilei Group

S. Hasibul Hassan Chowdhury, S. Twareque Ali

arxiv:1210.8135 v3 · 2012-10-30 · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCI7EXZYUTBYW4UG6TDDNKX4YC}

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	2026-05-18T03:00:11.453830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7891f25f38a4c38b7286f4c636aafcc08a51a6cef623677653da41520bf80e04

Aliases

arxiv: 1210.8135 · arxiv_version: 1210.8135v3 · doi: 10.48550/arxiv.1210.8135 · pith_short_12: PCI7EXZYUTBY · pith_short_16: PCI7EXZYUTBYW4UG · pith_short_8: PCI7EXZY

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/PCI7EXZYUTBYW4UG6TDDNKX4YC \
  | 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: 7891f25f38a4c38b7286f4c636aafcc08a51a6cef623677653da41520bf80e04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "205465fad9204ee2a1204235ddd3d60df483f46abfa6518646e0dd4030b5e006",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-30T19:45:46Z",
    "title_canon_sha256": "4a1fe1bd5cb4aa4070ae0f2c6b8665cc6a4cc6b1ba7c31cfbe09b43106fa84b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8135",
    "kind": "arxiv",
    "version": 3
  }
}