Pith Number

pith:NH3BRKIN

pith:2018:NH3BRKIN6RCEXSFOP7ZAD5YY33

not attested not anchored not stored refs pending

Measure dynamics with Probability Vector Fields and sources

Benedetto Piccoli, Francesco Rossi

arxiv:1809.03042 v1 · 2018-09-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NH3BRKIN6RCEXSFOP7ZAD5YY33}

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	2026-05-18T00:06:10.248959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69f618a90df4444bc8ae7ff201f718deca8429c024f1ca5bb515bbfdce92a979

Aliases

arxiv: 1809.03042 · arxiv_version: 1809.03042v1 · doi: 10.48550/arxiv.1809.03042 · pith_short_12: NH3BRKIN6RCE · pith_short_16: NH3BRKIN6RCEXSFO · pith_short_8: NH3BRKIN

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/NH3BRKIN6RCEXSFOP7ZAD5YY33 \
  | 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: 69f618a90df4444bc8ae7ff201f718deca8429c024f1ca5bb515bbfdce92a979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67abe3ab01f5df094a2e35484901c81f44a0a764b517152bf86389f4f56233b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-09T20:47:54Z",
    "title_canon_sha256": "575647705b3dcd6c8b215c5fbdf81b46e84644df50a7f2f369d6ed8e8fcdf382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03042",
    "kind": "arxiv",
    "version": 1
  }
}