Pith Number

pith:76VRW4KP

pith:2018:76VRW4KP2KOLZ5EIIML57NOXP7

not attested not anchored not stored refs pending

A Tight Upper Bound on Mutual Information

Ga\v{s}per Tka\v{c}ik, Michal Hled\'ik, Thomas R. Sokolowski

arxiv:1812.01475 v2 · 2018-12-04 · cs.IT · math.IT · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76VRW4KP2KOLZ5EIIML57NOXP7}

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	2026-05-17T23:56:33.298127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffab1b714fd29cbcf4884317dfb5d77ffb3ac4c6708f7b2844f0f2fe0b30c656

Aliases

arxiv: 1812.01475 · arxiv_version: 1812.01475v2 · doi: 10.48550/arxiv.1812.01475 · pith_short_12: 76VRW4KP2KOL · pith_short_16: 76VRW4KP2KOLZ5EI · pith_short_8: 76VRW4KP

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/76VRW4KP2KOLZ5EIIML57NOXP7 \
  | 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: ffab1b714fd29cbcf4884317dfb5d77ffb3ac4c6708f7b2844f0f2fe0b30c656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0acefd486f0e403a29cbac3ed10e6b614e27eb2278f9f22be5c2b3b8dd2ce3",
    "cross_cats_sorted": [
      "math.IT",
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-12-04T15:07:57Z",
    "title_canon_sha256": "9171f87efc55d12dfd5485797dcedf66a08baa52adf9709a8638bff0559123f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01475",
    "kind": "arxiv",
    "version": 2
  }
}