Pith Number

pith:DL3XYJ26

pith:2011:DL3XYJ26L4FFUYTO3E2EOFEDE6

not attested not anchored not stored refs pending

The Log-Convex Density Conjecture and vertical surface area in warped products

Sean Howe

arxiv:1107.4402 v2 · 2011-07-22 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DL3XYJ26L4FFUYTO3E2EOFEDE6}

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	2026-05-18T02:30:48.042062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1af77c275e5f0a5a626ed9344714832798ab244a511003cc92f8880bdf225d0a

Aliases

arxiv: 1107.4402 · arxiv_version: 1107.4402v2 · doi: 10.48550/arxiv.1107.4402 · pith_short_12: DL3XYJ26L4FF · pith_short_16: DL3XYJ26L4FFUYTO · pith_short_8: DL3XYJ26

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/DL3XYJ26L4FFUYTO3E2EOFEDE6 \
  | 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: 1af77c275e5f0a5a626ed9344714832798ab244a511003cc92f8880bdf225d0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88c1a0568289941ffa877f145695f8f5f3c2e1eba444b9202a0e0063c368271a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-22T00:42:44Z",
    "title_canon_sha256": "6249fd843d3063334cc1dff2580f427c633bc056c9d582629668c359a56ee6cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4402",
    "kind": "arxiv",
    "version": 2
  }
}