Pith Number

pith:KCFPEFIE

pith:2025:KCFPEFIEWLRKKKDBN4UTUEZZNF

not attested not anchored not stored refs pending

Mathematical reflections on modified fractional counting

Leo Egghe, Ronald Rousseau

arxiv:2506.12057 v1 · 2025-05-30 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCFPEFIEWLRKKKDBN4UTUEZZNF}

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	2026-07-05T11:21:16.416879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

508af21504b2e2a528616f293a1339694b270a0723f70500a6f7ff8e1b5ca0db

Aliases

arxiv: 2506.12057 · arxiv_version: 2506.12057v1 · doi: 10.48550/arxiv.2506.12057 · pith_short_12: KCFPEFIEWLRK · pith_short_16: KCFPEFIEWLRKKKDB · pith_short_8: KCFPEFIE

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/KCFPEFIEWLRKKKDBN4UTUEZZNF \
  | 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: 508af21504b2e2a528616f293a1339694b270a0723f70500a6f7ff8e1b5ca0db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a70b4d2b6c35082a79c765a4e3996bdee0fadeba0f8402c0b84cfb182b63cb7f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2025-05-30T16:16:24Z",
    "title_canon_sha256": "51e13e943d35033816f09ee361f15fa6fd8ffdb274d42aad4c95e51557bddf9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12057",
    "kind": "arxiv",
    "version": 1
  }
}