Pith Number

pith:GR3LCEHK

pith:2018:GR3LCEHKPZUA5SDDFFYFIEP5XW

not attested not anchored not stored refs pending

An Elementary Proof of a Classical Information-Theoretic Formula

Guangyue Han, Ronit Bustin, Shlomo Shamai, Xianming Liu

arxiv:1809.01422 v2 · 2018-09-05 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GR3LCEHKPZUA5SDDFFYFIEP5XW}

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	2026-05-18T00:02:44.364405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3476b110ea7e680ec86329705411fdbd9b555b45b175083e44bd0e4d39fd1e88

Aliases

arxiv: 1809.01422 · arxiv_version: 1809.01422v2 · doi: 10.48550/arxiv.1809.01422 · pith_short_12: GR3LCEHKPZUA · pith_short_16: GR3LCEHKPZUA5SDD · pith_short_8: GR3LCEHK

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/GR3LCEHKPZUA5SDDFFYFIEP5XW \
  | 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: 3476b110ea7e680ec86329705411fdbd9b555b45b175083e44bd0e4d39fd1e88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d5e58ac310deb897df51c687b476b4a646b5e60acfb1c45c4b7f20ff1de0c14",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-09-05T10:28:23Z",
    "title_canon_sha256": "a10c84d60f7c0d8bf85176386000150b5102101609f38cbd7cbea3a075b3974a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01422",
    "kind": "arxiv",
    "version": 2
  }
}