Pith Number

pith:OY52SZ2R

pith:2001:OY52SZ2RDN6H4KU7TOAFITSZIL

not attested not anchored not stored refs pending

L-series and their 2-adic and 3-adic valuations at s=1 attached to CM elliptic curves

Derong Qiu, Xianke Zhang

arxiv:math/0103242 v1 · 2001-03-15 · 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{OY52SZ2RDN6H4KU7TOAFITSZIL}

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	2026-05-18T01:38:29.985118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

763ba967511b7c7e2a9f9b80544e5942c538eca0cbb70fd555765ce8c8d497b2

Aliases

arxiv: math/0103242 · arxiv_version: math/0103242v1 · doi: 10.48550/arxiv.math/0103242 · pith_short_12: OY52SZ2RDN6H · pith_short_16: OY52SZ2RDN6H4KU7 · pith_short_8: OY52SZ2R

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/OY52SZ2RDN6H4KU7TOAFITSZIL \
  | 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: 763ba967511b7c7e2a9f9b80544e5942c538eca0cbb70fd555765ce8c8d497b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b768aea5c2e7faff12990e8bb9255b67d2262d3fe28e139921e83b1daf60a41d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2001-03-15T00:00:00Z",
    "title_canon_sha256": "2f267ba7e56a490c559475dc72e2d18f2c35a56344b7ca39dc0dbdf3a400549e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103242",
    "kind": "arxiv",
    "version": 1
  }
}