Pith Number

pith:F7MTHVHJ

pith:2012:F7MTHVHJGXRY7DRTC6ZSMKBEVE

not attested not anchored not stored refs pending

Gibbs-Shannon Entropy and Related Measures: Tsallis Entropy

Garimella Rama Murthy

arxiv:1201.1096 v1 · 2012-01-05 · 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{F7MTHVHJGXRY7DRTC6ZSMKBEVE}

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	2026-05-18T04:05:06.182514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd933d4e935e38f8e3317b3262824a9348029f51728127d7c41afcd0e997555

Aliases

arxiv: 1201.1096 · arxiv_version: 1201.1096v1 · doi: 10.48550/arxiv.1201.1096 · pith_short_12: F7MTHVHJGXRY · pith_short_16: F7MTHVHJGXRY7DRT · pith_short_8: F7MTHVHJ

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/F7MTHVHJGXRY7DRTC6ZSMKBEVE \
  | 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: 2fd933d4e935e38f8e3317b3262824a9348029f51728127d7c41afcd0e997555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f21158920a08e729f0bf14f686137146cd03499ae5cefdc6268ec2d602fd34",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-05T09:51:27Z",
    "title_canon_sha256": "9ad94944707b73b5d27756cc019692da5e97316b22e14e2ee3e8bbd31d8436f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1096",
    "kind": "arxiv",
    "version": 1
  }
}