Pith Number

pith:IDUNJG4G

pith:2009:IDUNJG4GQXKS33YAMNWVZ7CN2C

not attested not anchored not stored refs pending

The Maximum Principle for Minimal Varieties of Arbitrary Codimension

Brian White

arxiv:0906.0189 v3 · 2009-05-31 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDUNJG4GQXKS33YAMNWVZ7CN2C}

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	2026-05-18T03:29:28.166127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e8d49b8685d52def00636d5cfc4dd0825498d938c476a3768ddb592011b328

Aliases

arxiv: 0906.0189 · arxiv_version: 0906.0189v3 · doi: 10.48550/arxiv.0906.0189 · pith_short_12: IDUNJG4GQXKS · pith_short_16: IDUNJG4GQXKS33YA · pith_short_8: IDUNJG4G

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/IDUNJG4GQXKS33YAMNWVZ7CN2C \
  | 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: 40e8d49b8685d52def00636d5cfc4dd0825498d938c476a3768ddb592011b328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4067165a0ef4f0ebf174f4da618853e321a4de420de3c3429621ff33325c29c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-05-31T23:08:15Z",
    "title_canon_sha256": "9c5bc670c3d138b0e8331b01c8e635cd1bb4aa687e5fbc474615acc4a29d2b2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0189",
    "kind": "arxiv",
    "version": 3
  }
}