Pith Number

pith:ZQXXY5PF

pith:2007:ZQXXY5PFALHCUV56ITJRWXUF4U

not attested not anchored not stored refs pending

Isoperimetric regions in spherical cones and Yamabe constants of $M\times S^1$

Jimmy Petean

arxiv:0710.2536 v2 · 2007-10-12 · 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{ZQXXY5PFALHCUV56ITJRWXUF4U}

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	2026-05-18T04:09:14.116740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc2f7c75e502ce2a57be44d31b5e85e512ff0c1d664c26e143ccaa2e818c7373

Aliases

arxiv: 0710.2536 · arxiv_version: 0710.2536v2 · doi: 10.48550/arxiv.0710.2536 · pith_short_12: ZQXXY5PFALHC · pith_short_16: ZQXXY5PFALHCUV56 · pith_short_8: ZQXXY5PF

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/ZQXXY5PFALHCUV56ITJRWXUF4U \
  | 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: cc2f7c75e502ce2a57be44d31b5e85e512ff0c1d664c26e143ccaa2e818c7373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fc0de0ea4ee70866f1401ba5f6ed4f5326061adf10f3e3d43ea400d4480276",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-10-12T19:42:16Z",
    "title_canon_sha256": "228e90968f18dc10a1b90a2bccaa590f6684a14c3bac1869c461f21eed00b054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2536",
    "kind": "arxiv",
    "version": 2
  }
}