Pith Number

pith:ZPRQMCPK

pith:1993:ZPRQMCPKFUSSKGNUM2QQM36AWG

not attested not anchored not stored refs pending

The Projective Unitary Irreducible Representations of the Poincar\'e Group in 1+2 Dimensions

Dan Radu Grigore

arxiv:hep-th/9304142 v1 · 1993-04-28 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPRQMCPKFUSSKGNUM2QQM36AWG}

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	2026-05-18T01:38:42.759009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe30609ea2d252519b466a1066fc0b186b27122f30230798519a5e28de3885a

Aliases

arxiv: hep-th/9304142 · arxiv_version: hep-th/9304142v1 · doi: 10.48550/arxiv.hep-th/9304142 · pith_short_12: ZPRQMCPKFUSS · pith_short_16: ZPRQMCPKFUSSKGNU · pith_short_8: ZPRQMCPK

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/ZPRQMCPKFUSSKGNUM2QQM36AWG \
  | 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: cbe30609ea2d252519b466a1066fc0b186b27122f30230798519a5e28de3885a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e28b3c761cfd8ae91c6ace7651316bfc67c824528302fff2301d99b03beafc9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-04-28T06:30:00Z",
    "title_canon_sha256": "0405d4312d22f3ab564cdffea919957f29b0dcda22757ba9bd9f0365e6de49e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9304142",
    "kind": "arxiv",
    "version": 1
  }
}