Pith Number

pith:XY6MNKAP

pith:2013:XY6MNKAPVD2LLNKM5VD3BTVG6I

not attested not anchored not stored refs pending

On the stability of the modified entropy equation

Eszter Gselmann

arxiv:1307.0664 v1 · 2013-07-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XY6MNKAPVD2LLNKM5VD3BTVG6I}

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	2026-05-18T03:19:24.845964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3cc6a80fa8f4b5b54ced47b0cea6f22c9040b6fd039a5d6beac523e4042187

Aliases

arxiv: 1307.0664 · arxiv_version: 1307.0664v1 · doi: 10.48550/arxiv.1307.0664 · pith_short_12: XY6MNKAPVD2L · pith_short_16: XY6MNKAPVD2LLNKM · pith_short_8: XY6MNKAP

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/XY6MNKAPVD2LLNKM5VD3BTVG6I \
  | 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: be3cc6a80fa8f4b5b54ced47b0cea6f22c9040b6fd039a5d6beac523e4042187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae3ee64220f04a6332986ddb64d664fb7edae03846968ed0fda1f03cba8d6adf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-02T10:20:22Z",
    "title_canon_sha256": "ded2c358cf128f3fec095fc5f58ea010efe37c4c62bdd9182d33aa2b8d2bd9b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0664",
    "kind": "arxiv",
    "version": 1
  }
}