pith. sign in
Pith Number

pith:6SPRQ4BQ

pith:2016:6SPRQ4BQPGICXRNN5HUV2WKJDL
not attested not anchored not stored refs pending

Time Varying Isotropic Vector Random Fields on Spheres

Chunsheng Ma

arxiv:1604.07019 v1 · 2016-04-24 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6SPRQ4BQPGICXRNN5HUV2WKJDL}

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 2026-05-18T01:16:23.284882Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f49f18703079902bc5ade9e95d59491ad87de4f3399580ac4dc36cc286d8f203

Aliases

arxiv: 1604.07019 · arxiv_version: 1604.07019v1 · doi: 10.48550/arxiv.1604.07019 · pith_short_12: 6SPRQ4BQPGIC · pith_short_16: 6SPRQ4BQPGICXRNN · pith_short_8: 6SPRQ4BQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6SPRQ4BQPGICXRNN5HUV2WKJDL \
  | 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: f49f18703079902bc5ade9e95d59491ad87de4f3399580ac4dc36cc286d8f203
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9507c4bbd72c766dfd1be5dd9a32a318b960028cbc1311d666bb797017f5cebc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-24T12:15:55Z",
    "title_canon_sha256": "298a56cf6d17e48d7f61674f1e4e7f538309ed5a8ba666d60c893d072b94593e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07019",
    "kind": "arxiv",
    "version": 1
  }
}