Pith Number

pith:NIA2DUFK

pith:2017:NIA2DUFKX7JAUMDN73B54A3OCO

not attested not anchored not stored refs pending

Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves

Arul Shankar, Frank Thorne, Jacob Tsimerman, Manjul Bhargava, Takashi Taniguchi, Yongqiang Zhao

arxiv:1701.02458 v1 · 2017-01-10 · 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{NIA2DUFKX7JAUMDN73B54A3OCO}

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	2026-05-18T00:53:04.213455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a01a1d0aabfd20a306dfec3de036e13a08c8bdc33c9fc0938d7d4b8a8ee0b55

Aliases

arxiv: 1701.02458 · arxiv_version: 1701.02458v1 · doi: 10.48550/arxiv.1701.02458 · pith_short_12: NIA2DUFKX7JA · pith_short_16: NIA2DUFKX7JAUMDN · pith_short_8: NIA2DUFK

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/NIA2DUFKX7JAUMDN73B54A3OCO \
  | 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: 6a01a1d0aabfd20a306dfec3de036e13a08c8bdc33c9fc0938d7d4b8a8ee0b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c8661afbaa9edfac8ba9fdf054547e940ee9bba830948bf80318a03f36b63f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-10T07:47:40Z",
    "title_canon_sha256": "257d045a8f0d74ab37b6d344ce6856e7d48124ea9e86dd14731345225c9a6f1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02458",
    "kind": "arxiv",
    "version": 1
  }
}