Pith Number

pith:IRGHOOWH

pith:2013:IRGHOOWHHREG5IVHE2QKECNYHI

not attested not anchored not stored refs pending

Entropy functions and functional equations

Eszter Gselmann

arxiv:1307.0650 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{IRGHOOWHHREG5IVHE2QKECNYHI}

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	2026-05-18T03:19:24.951072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

444c773ac73c486ea2a726a0a209b83a2a46f1d4fb980d04d21d03006ac21b84

Aliases

arxiv: 1307.0650 · arxiv_version: 1307.0650v1 · doi: 10.48550/arxiv.1307.0650 · pith_short_12: IRGHOOWHHREG · pith_short_16: IRGHOOWHHREG5IVH · pith_short_8: IRGHOOWH

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/IRGHOOWHHREG5IVHE2QKECNYHI \
  | 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: 444c773ac73c486ea2a726a0a209b83a2a46f1d4fb980d04d21d03006ac21b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cccba9e5dfaabe03cb68e551e23a77d1d96f536716ae17508ac421a5f16f2d3a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-02T09:55:52Z",
    "title_canon_sha256": "3c54151c900548d1577dec0997b3e51afededb0e5a04c5f3d51323d35fb07bd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0650",
    "kind": "arxiv",
    "version": 1
  }
}