Pith Number

pith:I3UA37HF

pith:2020:I3UA37HFDLTEAQLT5K2WRZ3AQT

not attested not anchored not stored refs pending

Elliptic curves with good reduction outside of the first six primes

Alex J. Best, Benjamin Matschke

arxiv:2007.10535 v1 · 2020-07-21 · 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{I3UA37HFDLTEAQLT5K2WRZ3AQT}

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	2026-07-05T01:20:39.589360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46e80dfce51ae6404173eab568e76084ee6b8329a1a3510d6a221052e7e88e09

Aliases

arxiv: 2007.10535 · arxiv_version: 2007.10535v1 · doi: 10.48550/arxiv.2007.10535 · pith_short_12: I3UA37HFDLTE · pith_short_16: I3UA37HFDLTEAQLT · pith_short_8: I3UA37HF

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/I3UA37HFDLTEAQLT5K2WRZ3AQT \
  | 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: 46e80dfce51ae6404173eab568e76084ee6b8329a1a3510d6a221052e7e88e09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b822517635fca84a8956da1e59091199173733ea3504a196b2aa5de705c25948",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-07-21T00:20:05Z",
    "title_canon_sha256": "313abafae8a2379f2f4afb91ce306a873d276797e4499acbc8104e0c17138ea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10535",
    "kind": "arxiv",
    "version": 1
  }
}