Pith Number

pith:D5C7BL7P

pith:2007:D5C7BL7PVW7DGRKECQTS2MLRH2

not attested not anchored not stored refs pending

The Generalized Asymptotic Equipartition Property: Necessary and Sufficient Conditions

Matthew T. Harrison

arxiv:0711.2666 v1 · 2007-11-16 · 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{D5C7BL7PVW7DGRKECQTS2MLRH2}

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	2026-05-18T03:36:16.517376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f45f0afefadbe33454414272d31713eac7074ad828ec577a5590793cbb4835a

Aliases

arxiv: 0711.2666 · arxiv_version: 0711.2666v1 · doi: 10.48550/arxiv.0711.2666 · pith_short_12: D5C7BL7PVW7D · pith_short_16: D5C7BL7PVW7DGRKE · pith_short_8: D5C7BL7P

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/D5C7BL7PVW7DGRKECQTS2MLRH2 \
  | 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: 1f45f0afefadbe33454414272d31713eac7074ad828ec577a5590793cbb4835a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a9ba8d576a48b028ab574485dd792af8f55fdd18ffe5974cf06bdf31f8035a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-11-16T18:58:45Z",
    "title_canon_sha256": "5e37b757473d81444ccbf4d6ee65be24335a997c19d1a24e24eaddb9528f4213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2666",
    "kind": "arxiv",
    "version": 1
  }
}