Pith Number

pith:BZAIGDFE

pith:2013:BZAIGDFEGEP4HNVMFTDQNRICSC

not attested not anchored not stored refs pending

Spherical Harmonics

F. Dai, Y. Xu

arxiv:1304.2585 v1 · 2013-04-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZAIGDFEGEP4HNVMFTDQNRICSC}

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.

Cited by

1 paper in Pith

Exact distinguishability between real-valued and complex-valued Haar random quantum states

Receipt and verification

First computed	2026-05-18T03:28:31.442862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e40830ca4311fc3b6ac2cc706c50290b3158f49233c9a821ffb86801d78f67a

Aliases

arxiv: 1304.2585 · arxiv_version: 1304.2585v1 · doi: 10.48550/arxiv.1304.2585 · pith_short_12: BZAIGDFEGEP4 · pith_short_16: BZAIGDFEGEP4HNVM · pith_short_8: BZAIGDFE

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/BZAIGDFEGEP4HNVMFTDQNRICSC \
  | 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: 0e40830ca4311fc3b6ac2cc706c50290b3158f49233c9a821ffb86801d78f67a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c56363d4d5d9b6e05c18d4409bbd64ef4eed10d43008365e57f8e13f1bb3ad84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-09T13:37:59Z",
    "title_canon_sha256": "a2e4c12084d9b5332d9705e666e80d478ebd4dd9228814a1370491bb08465ef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2585",
    "kind": "arxiv",
    "version": 1
  }
}