Pith Number

pith:NBWKA5KV

pith:2016:NBWKA5KV2O67BWB3PWSQVOM672

not attested not anchored not stored refs pending

On algebraic integers in short intervals and near smooth curves

Anna Gusakova, Friedrich G\"otze

arxiv:1602.01630 v3 · 2016-02-04 · 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{NBWKA5KV2O67BWB3PWSQVOM672}

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	2026-05-18T00:29:21.912099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686ca07555d3bdf0d83b7da50ab99efe8f274c6adb3bffebc97ce4548ddf2f17

Aliases

arxiv: 1602.01630 · arxiv_version: 1602.01630v3 · doi: 10.48550/arxiv.1602.01630 · pith_short_12: NBWKA5KV2O67 · pith_short_16: NBWKA5KV2O67BWB3 · pith_short_8: NBWKA5KV

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/NBWKA5KV2O67BWB3PWSQVOM672 \
  | 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: 686ca07555d3bdf0d83b7da50ab99efe8f274c6adb3bffebc97ce4548ddf2f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a169cbff87284a94fc9fb7fdfd6207a8412a73b0a72cef8c816072778f087536",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-04T11:05:13Z",
    "title_canon_sha256": "0bf090f751130fe7cd0541636e2a01c6890dc28baf161251c8aa3cafb7409ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01630",
    "kind": "arxiv",
    "version": 3
  }
}