Pith Number

pith:GDSFSW72

pith:2010:GDSFSW722KCVTMHGLOMRNESLAI

not attested not anchored not stored refs pending

Hopf maps and Wigner's little groups

Armen Nersessian, Ruben Mkrtchyan, Vahagn Yeghikyan

arxiv:1008.2589 v2 · 2010-08-16 · hep-th · 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{GDSFSW722KCVTMHGLOMRNESLAI}

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	2026-05-18T04:18:15.307706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e4595bfad28559b0e65b9916924b023b2f67a5a007952ba72af03febe47b36

Aliases

arxiv: 1008.2589 · arxiv_version: 1008.2589v2 · doi: 10.48550/arxiv.1008.2589 · pith_short_12: GDSFSW722KCV · pith_short_16: GDSFSW722KCVTMHG · pith_short_8: GDSFSW72

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/GDSFSW722KCVTMHGLOMRNESLAI \
  | 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: 30e4595bfad28559b0e65b9916924b023b2f67a5a007952ba72af03febe47b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f4737cac9a549932e5b058ae3ff52f61ef03087410548b309e5f86ff5deffc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-08-16T08:06:09Z",
    "title_canon_sha256": "876eaf228fe3dac897e0b65b46019f170225d2e2912e15b6934c03a6a314502f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2589",
    "kind": "arxiv",
    "version": 2
  }
}