Pith Number

pith:YEI2CA5O

pith:2019:YEI2CA5OBTOM5EMWORO25TKSFV

not attested not anchored not stored refs pending

Families of elliptic curves ordered by conductor

Ananth N. Shankar, Arul Shankar, Xiaoheng Wang

arxiv:1904.13063 v1 · 2019-04-30 · 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{YEI2CA5OBTOM5EMWORO25TKSFV}

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	2026-05-17T23:47:24.050906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c111a103ae0cdcce9196745daecd522d64053b312d7243107a78dd86db85b26d

Aliases

arxiv: 1904.13063 · arxiv_version: 1904.13063v1 · doi: 10.48550/arxiv.1904.13063 · pith_short_12: YEI2CA5OBTOM · pith_short_16: YEI2CA5OBTOM5EMW · pith_short_8: YEI2CA5O

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/YEI2CA5OBTOM5EMWORO25TKSFV \
  | 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: c111a103ae0cdcce9196745daecd522d64053b312d7243107a78dd86db85b26d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "879cd37e5570de688ff8a530f4d398a94a5e633bf00cf321c3b0c14471bd6a72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-30T06:03:04Z",
    "title_canon_sha256": "37c120e4ee7a25b00289e334c6ab5fb7924393febf1b3cf500bc9823b5175eb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.13063",
    "kind": "arxiv",
    "version": 1
  }
}