Pith Number

pith:6QJBAM4Z

pith:2012:6QJBAM4ZDAJME32MGHFFVL3ZKF

not attested not anchored not stored refs pending

Uniform boundedness of rational points and preperiodic points

Bjorn Poonen

arxiv:1206.7104 v2 · 2012-06-29 · 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{6QJBAM4ZDAJME32MGHFFVL3ZKF}

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	2026-05-18T03:51:57.913675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4121033991812c26f4c31ca5aaf79515796685c98a9a36d1de57d8e7f5935ee

Aliases

arxiv: 1206.7104 · arxiv_version: 1206.7104v2 · doi: 10.48550/arxiv.1206.7104 · pith_short_12: 6QJBAM4ZDAJM · pith_short_16: 6QJBAM4ZDAJME32M · pith_short_8: 6QJBAM4Z

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/6QJBAM4ZDAJME32MGHFFVL3ZKF \
  | 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: f4121033991812c26f4c31ca5aaf79515796685c98a9a36d1de57d8e7f5935ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "929d1d300f11aa0d7f6bedc0e47e1cc1484c1b4052559dfe86ecea55fd684a74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-29T19:03:52Z",
    "title_canon_sha256": "4e3028f99830f872ee5ce2d1c3fec032717bc4687e3fac475e4696816a64b90e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.7104",
    "kind": "arxiv",
    "version": 2
  }
}