Pith Number

pith:HINCSPK7

pith:2017:HINCSPK7TTHI6TVOPI2EGNOTDV

not attested not anchored not stored refs pending

Heuristics for the arithmetic of elliptic curves

Bjorn Poonen

arxiv:1711.10112 v2 · 2017-11-28 · 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{HINCSPK7TTHI6TVOPI2EGNOTDV}

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	2026-05-18T00:29:07.870735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a1a293d5f9cce8f4eae7a344335d31d40c52149347f5b511d898cd07ea279a3

Aliases

arxiv: 1711.10112 · arxiv_version: 1711.10112v2 · doi: 10.48550/arxiv.1711.10112 · pith_short_12: HINCSPK7TTHI · pith_short_16: HINCSPK7TTHI6TVO · pith_short_8: HINCSPK7

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/HINCSPK7TTHI6TVOPI2EGNOTDV \
  | 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: 3a1a293d5f9cce8f4eae7a344335d31d40c52149347f5b511d898cd07ea279a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbc8d4de2908026313d2227ffa695e4dd6c6ce2212fbc39918c4ddd5b6d57685",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-28T04:09:50Z",
    "title_canon_sha256": "c29a1651d961538693f350d8e200fbeff7b7fc60bcb4b8a51f2ebce6bd4b92a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10112",
    "kind": "arxiv",
    "version": 2
  }
}