Pith Number

pith:A7GO64FY

pith:2019:A7GO64FYSRVYOIZMM7GNAFRRPT

not attested not anchored not stored refs pending

A countable partition for singular flows, and its application on the entropy theory

Fan Yang, Jiagang Yang, Yi Shi

arxiv:1908.01380 v1 · 2019-08-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7GO64FYSRVYOIZMM7GNAFRRPT}

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	2026-07-04T23:51:29.833996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07ccef70b8946b87232c67ccd016317ce5c238077f19179422358fe02f848653

Aliases

arxiv: 1908.01380 · arxiv_version: 1908.01380v1 · doi: 10.48550/arxiv.1908.01380 · pith_short_12: A7GO64FYSRVY · pith_short_16: A7GO64FYSRVYOIZM · pith_short_8: A7GO64FY

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/A7GO64FYSRVYOIZMM7GNAFRRPT \
  | 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: 07ccef70b8946b87232c67ccd016317ce5c238077f19179422358fe02f848653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eec77963f4a6f76fa109ded7ffa7904ed837206ed5b5bdf2010319b7d0dc23a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-04T18:01:39Z",
    "title_canon_sha256": "3b8f3f90f8fd67dd8310984b717301f4ef9cce8f76bbec00a4018d8525a65706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01380",
    "kind": "arxiv",
    "version": 1
  }
}