Pith Number

pith:2MYHZOQV

pith:2012:2MYHZOQVIQ6KKXMQAX2SLEEXXK

not attested not anchored not stored refs pending

Sato-Tate distributions of twists of y^2=x^5-x and y^2=x^6+1

Andrew V. Sutherland, Francesc Fit\'e

arxiv:1203.1476 v3 · 2012-03-07 · 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{2MYHZOQVIQ6KKXMQAX2SLEEXXK}

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	2026-05-18T02:49:30.121940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3307cba15443ca55d9005f5259097baaaa25bd5f73c823e7a18b4b57838c7cd

Aliases

arxiv: 1203.1476 · arxiv_version: 1203.1476v3 · doi: 10.48550/arxiv.1203.1476 · pith_short_12: 2MYHZOQVIQ6K · pith_short_16: 2MYHZOQVIQ6KKXMQ · pith_short_8: 2MYHZOQV

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/2MYHZOQVIQ6KKXMQAX2SLEEXXK \
  | 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: d3307cba15443ca55d9005f5259097baaaa25bd5f73c823e7a18b4b57838c7cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efd63174997d7a225d09faadde438725963477a949d5bd01857daf29e81e58f1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-07T14:10:15Z",
    "title_canon_sha256": "9911975adbbab23398a290274a37b6fe26dedd3fcdacd66c9ce8687b540c4c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1476",
    "kind": "arxiv",
    "version": 3
  }
}