Pith Number

pith:W7JTVQ57

pith:2009:W7JTVQ57UTDB6EN5KPDLWMXXYD

not attested not anchored not stored refs pending

Reduction theory of point clusters in projective space

Michael Stoll

arxiv:0909.2808 v1 · 2009-09-15 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7JTVQ57UTDB6EN5KPDLWMXXYD}

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	2026-05-18T01:10:11.361171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d33ac3bfa4c61f11bd53c6bb32f7c0d046f54d30979e194e02d22e01a4b70c

Aliases

arxiv: 0909.2808 · arxiv_version: 0909.2808v1 · doi: 10.48550/arxiv.0909.2808 · pith_short_12: W7JTVQ57UTDB · pith_short_16: W7JTVQ57UTDB6EN5 · pith_short_8: W7JTVQ57

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/W7JTVQ57UTDB6EN5KPDLWMXXYD \
  | 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: b7d33ac3bfa4c61f11bd53c6bb32f7c0d046f54d30979e194e02d22e01a4b70c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b241d8a36ed0fe6f2bbe5590cf03929ae12e3adbe920ffe27ed338b855b12a99",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-09-15T14:08:16Z",
    "title_canon_sha256": "1497d89f28ed22644fa91a1360c4825d4b9d289fc590ba9ef78979a54d296e77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2808",
    "kind": "arxiv",
    "version": 1
  }
}