Pith Number

pith:BZX57FOE

pith:2012:BZX57FOEQT354IA2HCJFGAH4ON

not attested not anchored not stored refs pending

Generalized Complex Spherical Harmonics, Frame Functions, and Gleason Theorem

Davide Pastorello (Math. Dept. - Trento University), Valter Moretti

arxiv:1205.4504 v2 · 2012-05-21 · math-ph · hep-th · 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{BZX57FOEQT354IA2HCJFGAH4ON}

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	2026-05-18T00:37:02.702785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e6fdf95c484f7de201a38925300fc735ca43ee0aedec8e5e12f5da224eac84b

Aliases

arxiv: 1205.4504 · arxiv_version: 1205.4504v2 · doi: 10.48550/arxiv.1205.4504 · pith_short_12: BZX57FOEQT35 · pith_short_16: BZX57FOEQT354IA2 · pith_short_8: BZX57FOE

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/BZX57FOEQT354IA2HCJFGAH4ON \
  | 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: 0e6fdf95c484f7de201a38925300fc735ca43ee0aedec8e5e12f5da224eac84b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "783f64c7e877c349518402f635a5d6ebc9720b3ceb732a93aa69f514a632669d",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-21T07:32:55Z",
    "title_canon_sha256": "2e54d14e285f0297555b624dd77863abb6b6f762f89a0c66fbf521117bf3b990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4504",
    "kind": "arxiv",
    "version": 2
  }
}