Pith Number

pith:KA7SBNYT

pith:2018:KA7SBNYTXE24TYOODTCGIDWLKQ

not attested not anchored not stored refs pending

On the zeros of a class of modular functions

Katharine Woo, Naomi Sweeting

arxiv:1807.04310 v2 · 2018-07-11 · 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{KA7SBNYTXE24TYOODTCGIDWLKQ}

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	2026-05-18T00:10:44.200136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

503f20b713b935c9e1ce1cc4640ecb541fc0c48c310792d022f4d2f6fd6e91fd

Aliases

arxiv: 1807.04310 · arxiv_version: 1807.04310v2 · doi: 10.48550/arxiv.1807.04310 · pith_short_12: KA7SBNYTXE24 · pith_short_16: KA7SBNYTXE24TYOO · pith_short_8: KA7SBNYT

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/KA7SBNYTXE24TYOODTCGIDWLKQ \
  | 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: 503f20b713b935c9e1ce1cc4640ecb541fc0c48c310792d022f4d2f6fd6e91fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b0300b194f838adb16c56fec188cfe637a959adbd8d25bb300061f7ce16c11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-11T18:17:44Z",
    "title_canon_sha256": "d288dd5f6e65fb1c30019770f1fe28ff172f5d12f64bc86df84ac2bfc2fdc545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04310",
    "kind": "arxiv",
    "version": 2
  }
}