Pith Number

pith:IDI4BCFO

pith:2017:IDI4BCFOJE3UNCY7J5MKLVQLNG

not attested not anchored not stored refs pending

On the Divergence and Vorticity of Vector Ambit Fields

Orimar Sauri

arxiv:1709.02267 v2 · 2017-09-07 · 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{IDI4BCFOJE3UNCY7J5MKLVQLNG}

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	2026-05-18T00:15:37.409852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40d1c088ae4937468b1f4f58a5d60b698a942c2f641ec8428e64916bd52d4298

Aliases

arxiv: 1709.02267 · arxiv_version: 1709.02267v2 · doi: 10.48550/arxiv.1709.02267 · pith_short_12: IDI4BCFOJE3U · pith_short_16: IDI4BCFOJE3UNCY7 · pith_short_8: IDI4BCFO

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/IDI4BCFOJE3UNCY7J5MKLVQLNG \
  | 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: 40d1c088ae4937468b1f4f58a5d60b698a942c2f641ec8428e64916bd52d4298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d455689f464c61e8f30979fa37242386fd87d97033d000effd0d90d90a2bd44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-07T14:20:42Z",
    "title_canon_sha256": "438ed86d128509d114d6075858ee505fa6b6690b6458f4349f54fccfea08d26c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02267",
    "kind": "arxiv",
    "version": 2
  }
}