Pith Number

pith:V5ESS4RL

pith:2011:V5ESS4RLTBWM5YHDMG3AA6NUIQ

not attested not anchored not stored refs pending

Lorentz Harmonics, Squeeze Harmonics, and their Physical Applications

Marilyn E. Noz, Young S. Kim

arxiv:1102.4000 v1 · 2011-02-19 · math-ph · hep-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5ESS4RLTBWM5YHDMG3AA6NUIQ}

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	2026-05-18T04:24:54.018323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af4929722b986ccee0e361b60079b4441a8d57989ae287e55205cddeddc45591

Aliases

arxiv: 1102.4000 · arxiv_version: 1102.4000v1 · doi: 10.48550/arxiv.1102.4000 · pith_short_12: V5ESS4RLTBWM · pith_short_16: V5ESS4RLTBWM5YHD · pith_short_8: V5ESS4RL

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/V5ESS4RLTBWM5YHDMG3AA6NUIQ \
  | 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: af4929722b986ccee0e361b60079b4441a8d57989ae287e55205cddeddc45591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35bbed599fdb28a2623534694ada66cb955a0466480914566d9c128e118b6ab7",
    "cross_cats_sorted": [
      "hep-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-19T16:46:29Z",
    "title_canon_sha256": "47345dcf46bc9e2fe9740528c2aae02d786e9f8c6e2f5b6ed09e50dd14d53437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4000",
    "kind": "arxiv",
    "version": 1
  }
}