Pith Number

pith:JNFSAGLP

pith:2010:JNFSAGLPFJOMD5GK74U7O6GYL3

not attested not anchored not stored refs pending

Approximating the Hard Square Entropy Constant with Probabilistic Methods

Ronnie Pavlov

arxiv:1011.1983 v1 · 2010-11-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNFSAGLPFJOMD5GK74U7O6GYL3}

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	2026-05-18T04:36:42.842456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b4b20196f2a5cc1f4caff29f778d85ed5b28de3614c6e996f9b2f427247cfa4

Aliases

arxiv: 1011.1983 · arxiv_version: 1011.1983v1 · doi: 10.48550/arxiv.1011.1983 · pith_short_12: JNFSAGLPFJOM · pith_short_16: JNFSAGLPFJOMD5GK · pith_short_8: JNFSAGLP

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/JNFSAGLPFJOMD5GK74U7O6GYL3 \
  | 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: 4b4b20196f2a5cc1f4caff29f778d85ed5b28de3614c6e996f9b2f427247cfa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489c4c754730d3a7e9418393954ee8ecae0595354e7b637a356b8e2ca655d8ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-09T06:33:53Z",
    "title_canon_sha256": "d8ec448eebb15401ac7ed296a1f54f6fd67625bdbababcdcafe216da45116b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1983",
    "kind": "arxiv",
    "version": 1
  }
}