Pith Number

pith:KJ3M6U4N

pith:2013:KJ3M6U4N6SIJL32NWMVASA2U6S

not attested not anchored not stored refs pending

On the products of bipolar harmonics

Alexei M. Frolov, David M. Wardlaw

arxiv:1302.5996 v7 · 2013-02-25 · physics.atom-ph · math-ph · math.MP · nucl-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{KJ3M6U4N6SIJL32NWMVASA2U6S}

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	2026-05-18T02:48:17.847182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5276cf538df49095ef4db32a090354f482f4b435b8b73f8e04e0dd462f16cc46

Aliases

arxiv: 1302.5996 · arxiv_version: 1302.5996v7 · doi: 10.48550/arxiv.1302.5996 · pith_short_12: KJ3M6U4N6SIJ · pith_short_16: KJ3M6U4N6SIJL32N · pith_short_8: KJ3M6U4N

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/KJ3M6U4N6SIJL32NWMVASA2U6S \
  | 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: 5276cf538df49095ef4db32a090354f482f4b435b8b73f8e04e0dd462f16cc46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f11ba38e8a7e664fa8d4539632c4b7126b701134ecdd9d06d621c2aec608ec98",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2013-02-25T05:16:56Z",
    "title_canon_sha256": "8a3596b37f0e0596f335417c8c663c54fbcad39198400d1b432f5176d0c9c31e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5996",
    "kind": "arxiv",
    "version": 7
  }
}