Pith Number

pith:XYSCXJLH

pith:2026:XYSCXJLH4XAHMQRBAZOCK7CLE3

not attested not anchored not stored refs pending

Equidistribution and the torsor method

Christian Bernert, Florian Wilsch, Ulrich Derenthal

arxiv:2607.14866 v1 · 2026-07-16 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYSCXJLH4XAHMQRBAZOCK7CLE3}

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	2026-07-17T01:21:56.190551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be242ba567e5c0764221065c257c4b26d7df300a4b4626cf5631d92d02c50e0d

Aliases

arxiv: 2607.14866 · arxiv_version: 2607.14866v1 · doi: 10.48550/arxiv.2607.14866 · pith_short_12: XYSCXJLH4XAH · pith_short_16: XYSCXJLH4XAHMQRB · pith_short_8: XYSCXJLH

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/XYSCXJLH4XAHMQRBAZOCK7CLE3 \
  | 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: be242ba567e5c0764221065c257c4b26d7df300a4b4626cf5631d92d02c50e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90315fc6f22193d47a37c7a3374df1716b2334e0c4895b3a0c0fd7be4c60eb52",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-16T11:41:47Z",
    "title_canon_sha256": "c9249e14abd7d473aee2bdc544e59913498d0445cecf1637a69c6336e061dda2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14866",
    "kind": "arxiv",
    "version": 1
  }
}