Pith Number

pith:76QPFSOO

pith:2016:76QPFSOORLIW2FXMXLHRZA4Q4A

not attested not anchored not stored refs pending

Time varying axially symmetric vector random fields on the sphere

Chunsheng Ma

arxiv:1606.03525 v1 · 2016-06-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76QPFSOORLIW2FXMXLHRZA4Q4A}

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	2026-05-18T01:12:33.828294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffa0f2c9ce8ad16d16ecbacf1c8390e03e6f3cabe115b269f2e0d7865cf122e0

Aliases

arxiv: 1606.03525 · arxiv_version: 1606.03525v1 · doi: 10.48550/arxiv.1606.03525 · pith_short_12: 76QPFSOORLIW · pith_short_16: 76QPFSOORLIW2FXM · pith_short_8: 76QPFSOO

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/76QPFSOORLIW2FXMXLHRZA4Q4A \
  | 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: ffa0f2c9ce8ad16d16ecbacf1c8390e03e6f3cabe115b269f2e0d7865cf122e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d0a5ea1ce9793868a5b3711681b1c09c09d5c7a94083a52c90becfe9bd67ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-11T02:08:56Z",
    "title_canon_sha256": "e1e48805680d6f920b51029b19509c46781e2967179f8da15b25a247c96ffbcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03525",
    "kind": "arxiv",
    "version": 1
  }
}