Pith Number

pith:F75PXO5A

pith:2026:F75PXO5AUN3OPMTEJ6AUU67UGH

not attested not anchored not stored refs pending

Towards a Characterization of Counting and Alternating Classes via Discrete Ordinary Differential Equations

Eduardo Skapinakis, Melissa Antonelli

arxiv:2608.05431 v1 · 2026-08-05 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F75PXO5AUN3OPMTEJ6AUU67UGH}

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	2026-08-07T00:47:51.191817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ffafbbba0a376e7b2644f814a7bf431e085fc16315470510813a5b15f1566aa

Aliases

arxiv: 2608.05431 · arxiv_version: 2608.05431v1 · doi: 10.48550/arxiv.2608.05431 · pith_short_12: F75PXO5AUN3O · pith_short_16: F75PXO5AUN3OPMTE · pith_short_8: F75PXO5A

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/F75PXO5AUN3OPMTEJ6AUU67UGH \
  | 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: 2ffafbbba0a376e7b2644f814a7bf431e085fc16315470510813a5b15f1566aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4d7196e991c1e42dffc48035b67517516108af79e0653807607659c538b7438",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-08-05T21:54:03Z",
    "title_canon_sha256": "caa12717e30a9ed8166598cda8d51b0d6967cc2d7b0d7a8c959602edf1296d3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05431",
    "kind": "arxiv",
    "version": 1
  }
}