Pith Number

pith:ZQHN74UP

pith:2008:ZQHN74UPZO7TTEFF6WBTX5NQCU

not attested not anchored not stored refs pending

Optimization problem for extremals of the trace inequality in domains with holes

L. M. Del Pezzo

arxiv:0809.0246 v1 · 2008-09-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQHN74UPZO7TTEFF6WBTX5NQCU}

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	2026-05-18T03:07:11.272126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc0edff28fcbbf3990a5f5833bf5b0153b8249846479c12ad5c872127f979739

Aliases

arxiv: 0809.0246 · arxiv_version: 0809.0246v1 · doi: 10.48550/arxiv.0809.0246 · pith_short_12: ZQHN74UPZO7T · pith_short_16: ZQHN74UPZO7TTEFF · pith_short_8: ZQHN74UP

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/ZQHN74UPZO7TTEFF6WBTX5NQCU \
  | 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: cc0edff28fcbbf3990a5f5833bf5b0153b8249846479c12ad5c872127f979739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d389f98f739a97dc5bb9aa17bb22ec35a610b28e5c6101e275914c89cb002387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-09-01T13:51:32Z",
    "title_canon_sha256": "360c7ab105ec39576be1043e45221feb8f547277cf732b7048a64a284fa3504b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0246",
    "kind": "arxiv",
    "version": 1
  }
}