Pith Number

pith:FUZKRE4J

pith:2017:FUZKRE4JW24QRB2ZONOMNXVSBX

not attested not anchored not stored refs pending

Prime Points in Orbits: Some Instances of the Bourgain-Gamburd-Sarnak Conjecture

Amos Nevo, Tal Horesh

arxiv:1707.04746 v1 · 2017-07-15 · 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{FUZKRE4JW24QRB2ZONOMNXVSBX}

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	2026-05-18T00:40:12.409327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d32a89389b6b9088759735cc6deb20df4c4fff18c31da15abead7ae6ca7a75a

Aliases

arxiv: 1707.04746 · arxiv_version: 1707.04746v1 · doi: 10.48550/arxiv.1707.04746 · pith_short_12: FUZKRE4JW24Q · pith_short_16: FUZKRE4JW24QRB2Z · pith_short_8: FUZKRE4J

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/FUZKRE4JW24QRB2ZONOMNXVSBX \
  | 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: 2d32a89389b6b9088759735cc6deb20df4c4fff18c31da15abead7ae6ca7a75a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c278c8731341badeed44e5be9cea29f5db56e8bc9c0036abf025aee6342b5506",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-15T14:47:14Z",
    "title_canon_sha256": "d0030d1d0108f7276535ae39ba9a41afed09fde7ba18bc482ef66ea3c0f06e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04746",
    "kind": "arxiv",
    "version": 1
  }
}