Pith Number

pith:QCI6T7B4

pith:2016:QCI6T7B4L3LPD64GKARFDYN3EK

not attested not anchored not stored refs pending

Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks

James Weigandt, Jennifer S. Balakrishnan, Nathan Kaplan, Simon Spicer, Wei Ho, William Stein

arxiv:1602.01894 v2 · 2016-02-05 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCI6T7B4L3LPD64GKARFDYN3EK}

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	2026-05-17T23:53:13.382524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8091e9fc3c5ed6f1fb86502251e1bb22b850dd3cc0b3d80ce6cde29630c4acf7

Aliases

arxiv: 1602.01894 · arxiv_version: 1602.01894v2 · doi: 10.48550/arxiv.1602.01894 · pith_short_12: QCI6T7B4L3LP · pith_short_16: QCI6T7B4L3LPD64G · pith_short_8: QCI6T7B4

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/QCI6T7B4L3LPD64GKARFDYN3EK \
  | 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: 8091e9fc3c5ed6f1fb86502251e1bb22b850dd3cc0b3d80ce6cde29630c4acf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31e5af49c19c4be5f4283856d9678305cfdc28c46e482a8916b08ad9ea4224e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-05T00:16:44Z",
    "title_canon_sha256": "ece23e219dd647947105e15d919bcdd0bab10a67b4cd9f2184ddbe6fc90fe52d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01894",
    "kind": "arxiv",
    "version": 2
  }
}