Pith Number

pith:P7SKP72K

pith:2013:P7SKP72KPWWDTCIJDA5SESVKBJ

not attested not anchored not stored refs pending

Arithmetic, zeros, and nodal domains on the sphere

Michael Magee

arxiv:1310.7977 v2 · 2013-10-29 · math.NT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7SKP72KPWWDTCIJDA5SESVKBJ}

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	2026-05-18T02:02:08.541084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe4a7ff4a7dac398909183b224aaa0a795a3abe1f90c2a5056381aed5d56576

Aliases

arxiv: 1310.7977 · arxiv_version: 1310.7977v2 · doi: 10.48550/arxiv.1310.7977 · pith_short_12: P7SKP72KPWWD · pith_short_16: P7SKP72KPWWDTCIJ · pith_short_8: P7SKP72K

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/P7SKP72KPWWDTCIJDA5SESVKBJ \
  | 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: 7fe4a7ff4a7dac398909183b224aaa0a795a3abe1f90c2a5056381aed5d56576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8f2d591d3fc4844cdecf271dfe4fa116bbebd22a2bd8ba7a060e79580997eca",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-29T22:21:35Z",
    "title_canon_sha256": "a4b84c3564e31e2be83034d3304e412ab8f99eb05935476793fccdc44e26d2e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7977",
    "kind": "arxiv",
    "version": 2
  }
}