Pith Number

pith:TSY4SZGG

pith:2016:TSY4SZGGNKNYC6GTG7QPU3WGTZ

not attested not anchored not stored refs pending

Weighted information and entropy rates

Izabella Stuhl, Yuri Suhov

arxiv:1612.09169 v1 · 2016-12-29 · cs.IT · math.IT · 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{TSY4SZGGNKNYC6GTG7QPU3WGTZ}

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	2026-05-18T00:53:46.318885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cb1c964c66a9b8178d337e0fa6ec69e6bc07d46017c66dda06b02fffacf2d80

Aliases

arxiv: 1612.09169 · arxiv_version: 1612.09169v1 · doi: 10.48550/arxiv.1612.09169 · pith_short_12: TSY4SZGGNKNY · pith_short_16: TSY4SZGGNKNYC6GT · pith_short_8: TSY4SZGG

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/TSY4SZGGNKNYC6GTG7QPU3WGTZ \
  | 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: 9cb1c964c66a9b8178d337e0fa6ec69e6bc07d46017c66dda06b02fffacf2d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63676ad4a06550d103a6989c586e01307f985578ff601081890e73f2d663be8e",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-29T15:20:24Z",
    "title_canon_sha256": "4cdce2e4a0f8d132d809a848867801ce3117ae137b3f6bd9f2ea2ab4867de1df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09169",
    "kind": "arxiv",
    "version": 1
  }
}