Pith Number

pith:X6K5OFOK

pith:2017:X6K5OFOKGBM6LHP3OK5YNJPX2C

not attested not anchored not stored refs pending

On the rank and the convergence rate towards the Sato-Tate measure

Francesc Fit\'e, Xavier Guitart

arxiv:1703.03182 v2 · 2017-03-09 · 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{X6K5OFOKGBM6LHP3OK5YNJPX2C}

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	2026-05-18T00:33:21.190734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf95d715ca3059e59dfb72bb86a5f7d0b10939b0683b0855870ed4181fc11e2f

Aliases

arxiv: 1703.03182 · arxiv_version: 1703.03182v2 · doi: 10.48550/arxiv.1703.03182 · pith_short_12: X6K5OFOKGBM6 · pith_short_16: X6K5OFOKGBM6LHP3 · pith_short_8: X6K5OFOK

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/X6K5OFOKGBM6LHP3OK5YNJPX2C \
  | 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: bf95d715ca3059e59dfb72bb86a5f7d0b10939b0683b0855870ed4181fc11e2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6b620d0401cea3eb14d7509ca29abbcc614e86c0ca0d0a954cd500aaa7c4b22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-09T09:00:39Z",
    "title_canon_sha256": "0364cafef75876badc708c9d05c5f9fd558b0659114fbd213b4767430a69906f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03182",
    "kind": "arxiv",
    "version": 2
  }
}