Pith Number

pith:ZX47ZSJQ

pith:2025:ZX47ZSJQBKHVOQ2HDA2O66BDKL

not attested not anchored not stored refs pending

Hecke reciprocity and class groups

Ari Shnidman, Artane Siad

arxiv:2506.13749 v2 · 2025-06-16 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZX47ZSJQBKHVOQ2HDA2O66BDKL}

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	2026-07-05T11:48:26.677971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdf9fcc9300a8f5743471834ef782352fddb5213d40d7b9e9ec07c2ea9f52c74

Aliases

arxiv: 2506.13749 · arxiv_version: 2506.13749v2 · doi: 10.48550/arxiv.2506.13749 · pith_short_12: ZX47ZSJQBKHV · pith_short_16: ZX47ZSJQBKHVOQ2H · pith_short_8: ZX47ZSJQ

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/ZX47ZSJQBKHVOQ2HDA2O66BDKL \
  | 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: cdf9fcc9300a8f5743471834ef782352fddb5213d40d7b9e9ec07c2ea9f52c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55c2b9ddaa9cc5d32eeca76c9df710a5a1f7914a01ba296bbc8579c653281a87",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-16T17:55:37Z",
    "title_canon_sha256": "5b4b2109b3a53228b2ff053b4f98ad6053a59207328f34e52f4f59a8a4f5f12e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13749",
    "kind": "arxiv",
    "version": 2
  }
}