Pith Number

pith:IZTOYIS6

pith:2012:IZTOYIS6UH5E5LXYXUW5GCP2I7

not attested not anchored not stored refs pending

An Alternative Proof of an Extremal Entropy Inequality

Erchin Serpedin, Khalid Qaraqe, Sangwoo Park

arxiv:1201.6681 v5 · 2012-01-31 · 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{IZTOYIS6UH5E5LXYXUW5GCP2I7}

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	2026-05-18T03:40:25.722233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4666ec225ea1fa4eaef8bd2dd309fa47d1febeca846e3c9dac1efaa8fb64cfef

Aliases

arxiv: 1201.6681 · arxiv_version: 1201.6681v5 · doi: 10.48550/arxiv.1201.6681 · pith_short_12: IZTOYIS6UH5E · pith_short_16: IZTOYIS6UH5E5LXY · pith_short_8: IZTOYIS6

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/IZTOYIS6UH5E5LXYXUW5GCP2I7 \
  | 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: 4666ec225ea1fa4eaef8bd2dd309fa47d1febeca846e3c9dac1efaa8fb64cfef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a81f2f4213c8c24a3f6fbd15b4572834fa53bf1abb8b5651aae7ab207a75bf9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-31T20:46:07Z",
    "title_canon_sha256": "a4babd158582e32463435ebddc584307be836ccf6d65309609ac120dd9d7a8fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6681",
    "kind": "arxiv",
    "version": 5
  }
}