Pith Number

pith:J6GUJ3II

pith:2017:J6GUJ3IIEJ6JWBIIZS3DHCVCPV

not attested not anchored not stored refs pending

Multiplicative approximation by the Weil height

Jeffrey D. Vaaler, Robert Grizzard

arxiv:1710.08399 v1 · 2017-10-23 · 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{J6GUJ3IIEJ6JWBIIZS3DHCVCPV}

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	2026-05-18T00:32:16.509966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f8d44ed08227c9b0508ccb6338aa27d5c370d65aaa55001b575efae5e93b216

Aliases

arxiv: 1710.08399 · arxiv_version: 1710.08399v1 · doi: 10.48550/arxiv.1710.08399 · pith_short_12: J6GUJ3IIEJ6J · pith_short_16: J6GUJ3IIEJ6JWBII · pith_short_8: J6GUJ3II

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/J6GUJ3IIEJ6JWBIIZS3DHCVCPV \
  | 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: 4f8d44ed08227c9b0508ccb6338aa27d5c370d65aaa55001b575efae5e93b216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c07351e6522b6a7479fc2a83d2b91fd147b73c681c69177cda8a0dc20ca4d54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-23T17:29:57Z",
    "title_canon_sha256": "d9e6fa03a0e669f60e8deef54084f09330df3ee7cdf99e98c4455b42a2cdb01e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08399",
    "kind": "arxiv",
    "version": 1
  }
}