Pith Number

pith:GHVVMAR7

pith:2012:GHVVMAR7VKOVLCNQBYDJBH36YO

not attested not anchored not stored refs pending

Effective Height Upper Bounds on Algebraic Tori

Philipp Habegger

arxiv:1201.3255 v1 · 2012-01-16 · 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{GHVVMAR7VKOVLCNQBYDJBH36YO}

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	2026-05-18T04:04:31.784770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31eb56023faa9d5589b00e06909f7ec39b1ad042e4b23bc96807a1d06e3ae193

Aliases

arxiv: 1201.3255 · arxiv_version: 1201.3255v1 · doi: 10.48550/arxiv.1201.3255 · pith_short_12: GHVVMAR7VKOV · pith_short_16: GHVVMAR7VKOVLCNQ · pith_short_8: GHVVMAR7

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/GHVVMAR7VKOVLCNQBYDJBH36YO \
  | 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: 31eb56023faa9d5589b00e06909f7ec39b1ad042e4b23bc96807a1d06e3ae193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "affc72aa40ea58549c088272e861b439da0a9eaecbd87f75df4732355f461708",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-16T13:54:07Z",
    "title_canon_sha256": "e62c7f288fc00ffae0f73508cd3d75888a2a3599034583bb117fc29613cb7635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3255",
    "kind": "arxiv",
    "version": 1
  }
}