Pith Number

pith:2JURFY6W

pith:2018:2JURFY6WPNMYXKHM5CDTDSYCRM

not attested not anchored not stored refs pending

Doubly stochastic operators with zero entropy

Bartosz Frej, Dawid Huczek

arxiv:1803.07882 v1 · 2018-03-21 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JURFY6WPNMYXKHM5CDTDSYCRM}

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	2026-05-17T23:50:59.816902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d26912e3d67b598ba8ece88731cb028b168e6094828e817cc8bbea5477636432

Aliases

arxiv: 1803.07882 · arxiv_version: 1803.07882v1 · doi: 10.48550/arxiv.1803.07882 · pith_short_12: 2JURFY6WPNMY · pith_short_16: 2JURFY6WPNMYXKHM · pith_short_8: 2JURFY6W

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/2JURFY6WPNMYXKHM5CDTDSYCRM \
  | 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: d26912e3d67b598ba8ece88731cb028b168e6094828e817cc8bbea5477636432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d97e1c9412cab7848e1cb080787ae303994559d828d58c9541a5e45ee864a8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-21T12:27:29Z",
    "title_canon_sha256": "08cc4b7561ce8484057db4e086892fa1777854540da72c7011dabccb71257fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07882",
    "kind": "arxiv",
    "version": 1
  }
}