Pith Number

pith:WTB7JXCP

pith:2013:WTB7JXCPBV3EM76VZS7IDKSJPK

not attested not anchored not stored refs pending

The mixed $L_p$ geominimal surface areas for multiple convex bodies

Baocheng Zhu, Deping Ye, Jiazu Zhou

arxiv:1311.5180 v1 · 2013-11-20 · math.MG · 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{WTB7JXCPBV3EM76VZS7IDKSJPK}

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	2026-05-18T01:12:58.878616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c3f4dc4f0d76467fd5ccbe81aa497a931e330c8f3afbc253de40a65b53002d

Aliases

arxiv: 1311.5180 · arxiv_version: 1311.5180v1 · doi: 10.48550/arxiv.1311.5180 · pith_short_12: WTB7JXCPBV3E · pith_short_16: WTB7JXCPBV3EM76V · pith_short_8: WTB7JXCP

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/WTB7JXCPBV3EM76VZS7IDKSJPK \
  | 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: b4c3f4dc4f0d76467fd5ccbe81aa497a931e330c8f3afbc253de40a65b53002d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5cefea1308f97ffbcfcb29bf61f5afc84e028619db9b16298302b70dba0160c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-11-20T19:21:24Z",
    "title_canon_sha256": "fce149c907672651a97090c59338c0c2134455b56209a816791979050fc429ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5180",
    "kind": "arxiv",
    "version": 1
  }
}