Pith Number

pith:JN7X6OO3

pith:2017:JN7X6OO3KCI6BWRMOJKNKA27YU

not attested not anchored not stored refs pending

Constants in Titchmarsh divisor problems for elliptic curves

Alexander Cowan, Alina Carmen Cojocaru, Clifford Blakestad, Geoffrey Smith, Isabel Vogt, Nathan Jones, Renee Bell, Vlad Matei

arxiv:1706.03422 v1 · 2017-06-11 · 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{JN7X6OO3KCI6BWRMOJKNKA27YU}

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	2026-05-18T00:42:35.717246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b7f7f39db5091e0da2c7254d5035fc5386eaea98dc7be79205319ae12201f81

Aliases

arxiv: 1706.03422 · arxiv_version: 1706.03422v1 · doi: 10.48550/arxiv.1706.03422 · pith_short_12: JN7X6OO3KCI6 · pith_short_16: JN7X6OO3KCI6BWRM · pith_short_8: JN7X6OO3

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/JN7X6OO3KCI6BWRMOJKNKA27YU \
  | 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: 4b7f7f39db5091e0da2c7254d5035fc5386eaea98dc7be79205319ae12201f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2543a51ac5a03d6975c582259652d8271c795af3784256f9b06680e83caaf084",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-11T23:22:16Z",
    "title_canon_sha256": "d334af598979808fa1e2f9d021e03946e5364ee8db68278eaa9644f9e5ed956a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03422",
    "kind": "arxiv",
    "version": 1
  }
}