Pith Number

pith:TPYPK6SA

pith:2025:TPYPK6SASTNBITPT74FTBZYDNX

not attested not anchored not stored refs pending

Bounds and Optimal Results for the Total Irregularity Measure

Abeer M. Albalahi, Akbar Ali, Amjad E. Hamza, Darko Dimitrov, Tam\'as R\'eti

arxiv:2501.01538 v1 · 2025-01-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPYPK6SASTNBITPT74FTBZYDNX}

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	2026-07-05T09:56:26.386197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf0f57a4094da144df3ff0b30e7036dc11ec896093edff93a9420dd392db838

Aliases

arxiv: 2501.01538 · arxiv_version: 2501.01538v1 · doi: 10.48550/arxiv.2501.01538 · pith_short_12: TPYPK6SASTNB · pith_short_16: TPYPK6SASTNBITPT · pith_short_8: TPYPK6SA

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/TPYPK6SASTNBITPT74FTBZYDNX \
  | 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: 9bf0f57a4094da144df3ff0b30e7036dc11ec896093edff93a9420dd392db838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "852fb90aa6056ce43ba5f2e2ada1da504ce08568d7e9c2f3f7bac442af5b5e28",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-02T21:12:45Z",
    "title_canon_sha256": "e819bccdb21045a609dc23b025d0e3a6a27c88db5e85e15e303b1373cf8cc13e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.01538",
    "kind": "arxiv",
    "version": 1
  }
}