Pith Number

pith:SNG65FEH

pith:2024:SNG65FEHKCYWPIYOZ4FJLUS4HX

not attested not anchored not stored refs pending

Breaking through the classical Shannon entropy limit: A new frontier through logical semantics

Alexander Gray, Barry M. Trager, Chai Wah Wu, Jonathan Lenchner, Luis A. Lastras, Mark S. Squillante, Wojciech Szpankowski

arxiv:2501.00612 v1 · 2024-12-31 · 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{SNG65FEHKCYWPIYOZ4FJLUS4HX}

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	2026-07-05T09:56:08.210917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

934dee948750b167a30ecf0a95d25c3df5357bfac637a4e62ce3417e3d4538d5

Aliases

arxiv: 2501.00612 · arxiv_version: 2501.00612v1 · doi: 10.48550/arxiv.2501.00612 · pith_short_12: SNG65FEHKCYW · pith_short_16: SNG65FEHKCYWPIYO · pith_short_8: SNG65FEH

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/SNG65FEHKCYWPIYOZ4FJLUS4HX \
  | 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: 934dee948750b167a30ecf0a95d25c3df5357bfac637a4e62ce3417e3d4538d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b526f5e84c92c035d58730a5b9f5e362cad42bd3bd735ad6b07574fe01a8f853",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2024-12-31T19:18:16Z",
    "title_canon_sha256": "a47eb8a49a151a9ca5545e789ed00aa18db8ed7e690d6e89ccfe2288814496bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00612",
    "kind": "arxiv",
    "version": 1
  }
}