Pith Number

pith:HZM5JL43

pith:2008:HZM5JL435VPEEQABMOYGULZW3R

not attested not anchored not stored refs pending

Expanding translates of curves and Dirichlet-Minkowski theorem on linear forms

Nimish A. Shah

arxiv:0804.1424 v1 · 2008-04-09 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZM5JL435VPEEQABMOYGULZW3R}

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	2026-05-17T23:53:58.377506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e59d4af9bed5e42400163b06a2f36dc59fa28bdd263bd1869d37f12b9618257

Aliases

arxiv: 0804.1424 · arxiv_version: 0804.1424v1 · doi: 10.48550/arxiv.0804.1424 · pith_short_12: HZM5JL435VPE · pith_short_16: HZM5JL435VPEEQAB · pith_short_8: HZM5JL43

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/HZM5JL435VPEEQABMOYGULZW3R \
  | 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: 3e59d4af9bed5e42400163b06a2f36dc59fa28bdd263bd1869d37f12b9618257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb760db502e6189403540d75127a19adb4af0f9550493c041a6abd682feed72e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-04-09T07:28:24Z",
    "title_canon_sha256": "f040689460414eac4930e24beda3e6c705d5363eca24a44c93ff66cc315a4aaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1424",
    "kind": "arxiv",
    "version": 1
  }
}