Pith Number

pith:CF7P6P3A

pith:2015:CF7P6P3ACXUTVHMIJAPGNGSEUJ

not attested not anchored not stored refs pending

Height bounds for algebraic numbers satisfying splitting conditions

Igor Pritsker, Paul Fili

arxiv:1507.01879 v1 · 2015-07-07 · 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{CF7P6P3ACXUTVHMIJAPGNGSEUJ}

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	2026-05-18T01:37:12.205049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

117eff3f6015e93a9d88481e669a44a25ab2cb0a4c3b7d4b44c29b560dbf1915

Aliases

arxiv: 1507.01879 · arxiv_version: 1507.01879v1 · doi: 10.48550/arxiv.1507.01879 · pith_short_12: CF7P6P3ACXUT · pith_short_16: CF7P6P3ACXUTVHMI · pith_short_8: CF7P6P3A

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/CF7P6P3ACXUTVHMIJAPGNGSEUJ \
  | 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: 117eff3f6015e93a9d88481e669a44a25ab2cb0a4c3b7d4b44c29b560dbf1915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e288b03ab95bb636b3615efaedcfb306f02ef587ebf203bfa8efacd34cfa450a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-07T17:07:45Z",
    "title_canon_sha256": "5ce86dc7eb20458f6230add67fff1c000ab84bd70bf09f1993b494c61d42e298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01879",
    "kind": "arxiv",
    "version": 1
  }
}