Pith Number

pith:BWFFLPFS

pith:2010:BWFFLPFSPCO5PABLF4G3NOEO7W

not attested not anchored not stored refs pending

Isoperimetric problems in sectors with density

Alexander D\'iaz, David Thompson, Nate Harman, Sean Howe

arxiv:1012.0450 v1 · 2010-12-02 · 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{BWFFLPFSPCO5PABLF4G3NOEO7W}

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	2026-05-18T02:23:16.771398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d8a55bcb2789dd7802b2f0db6b88efd8eb9508bb8e0110819d74a0adbce9656

Aliases

arxiv: 1012.0450 · arxiv_version: 1012.0450v1 · doi: 10.48550/arxiv.1012.0450 · pith_short_12: BWFFLPFSPCO5 · pith_short_16: BWFFLPFSPCO5PABL · pith_short_8: BWFFLPFS

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/BWFFLPFSPCO5PABLF4G3NOEO7W \
  | 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: 0d8a55bcb2789dd7802b2f0db6b88efd8eb9508bb8e0110819d74a0adbce9656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43778145d967bfac8fded74e8832ce1484219e0326612ae8940753e4fe84a479",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-02T15:19:35Z",
    "title_canon_sha256": "567cd9e91d2c70b75456f4e80c64a8c96d7db6436b7599d324661db40578a57b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0450",
    "kind": "arxiv",
    "version": 1
  }
}