Pith Number

pith:GVWZSPQV

pith:2017:GVWZSPQVXT3F4J7HV5634CTFXZ

not attested not anchored not stored refs pending

Free mutual information for two projections

Tarek Hamdi

arxiv:1710.05986 v1 · 2017-10-16 · 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{GVWZSPQVXT3F4J7HV5634CTFXZ}

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	2026-05-18T00:32:38.091542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

356d993e15bcf65e27e7af7dbe0a65be54bdf0b9d022986f12e20a53157c25cd

Aliases

arxiv: 1710.05986 · arxiv_version: 1710.05986v1 · doi: 10.48550/arxiv.1710.05986 · pith_short_12: GVWZSPQVXT3F · pith_short_16: GVWZSPQVXT3F4J7H · pith_short_8: GVWZSPQV

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/GVWZSPQVXT3F4J7HV5634CTFXZ \
  | 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: 356d993e15bcf65e27e7af7dbe0a65be54bdf0b9d022986f12e20a53157c25cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf8c4d79da6fddac18abf96aedcc1f3525f5025af2dbf9fa5297dc55d014c10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-16T20:16:32Z",
    "title_canon_sha256": "792028fe771b2218326afeec86cf369918ffae417952eff7634d08049857a9ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05986",
    "kind": "arxiv",
    "version": 1
  }
}