Pith Number

pith:XJAFSI3Q

pith:2016:XJAFSI3QWF7GAALLQPISN6MIUE

not attested not anchored not stored refs pending

Complete monotonicity of some entropies

Ioan Rasa

arxiv:1606.05520 v2 · 2016-06-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJAFSI3QWF7GAALLQPISN6MIUE}

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	2026-05-18T01:08:32.115456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba40592370b17e60016b83d126f988a13dcec72da8fe7ed438c50c5e893d180f

Aliases

arxiv: 1606.05520 · arxiv_version: 1606.05520v2 · doi: 10.48550/arxiv.1606.05520 · pith_short_12: XJAFSI3QWF7G · pith_short_16: XJAFSI3QWF7GAALL · pith_short_8: XJAFSI3Q

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/XJAFSI3QWF7GAALLQPISN6MIUE \
  | 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: ba40592370b17e60016b83d126f988a13dcec72da8fe7ed438c50c5e893d180f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fb88c161e066087772842bbdbdfe4ee15abea22d2cca5d045cb16dd79059a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-17T13:35:51Z",
    "title_canon_sha256": "c20125eb55330a0106dedff52bc5b6521b3bab0adec1b3f31950cf2cc37a8d8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05520",
    "kind": "arxiv",
    "version": 2
  }
}