Pith Number

pith:PRUDXGEF

pith:2008:PRUDXGEFOLUWIZXZYXOEQM5G2Q

not attested not anchored not stored refs pending

Rational points on homogeneous varieties and Equidistribution of Adelic periods

Alex Gorodnik, (Appendix by Mikhail Borovoi), Hee Oh

arxiv:0803.1996 v3 · 2008-03-13 · math.AG · math.DS · 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{PRUDXGEFOLUWIZXZYXOEQM5G2Q}

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	2026-05-18T04:32:56.191046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c683b988572e96466f9c5dc4833a6d43bf4271ee4eda6b2bf9e9a8b15bab7ce

Aliases

arxiv: 0803.1996 · arxiv_version: 0803.1996v3 · doi: 10.48550/arxiv.0803.1996 · pith_short_12: PRUDXGEFOLUW · pith_short_16: PRUDXGEFOLUWIZXZ · pith_short_8: PRUDXGEF

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/PRUDXGEFOLUWIZXZYXOEQM5G2Q \
  | 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: 7c683b988572e96466f9c5dc4833a6d43bf4271ee4eda6b2bf9e9a8b15bab7ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cc8ff108863d9f605027f3e1696299e88c7cd6dea75631cc74041c7ad42001a",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-03-13T15:58:09Z",
    "title_canon_sha256": "6905634905c6d7e5ac5f555c965baee84d968f238108987bf4466258af60b1bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1996",
    "kind": "arxiv",
    "version": 3
  }
}