Pith Number

pith:B2B73FMG

pith:2013:B2B73FMGX55QNB32DIJWXYR6L5

not attested not anchored not stored refs pending

Soap bubbles and isoperimetric regions in the product of a closed manifold with Euclidean space

Jes\'us Gonzalo P\'erez

arxiv:1312.6311 v1 · 2013-12-21 · 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{B2B73FMGX55QNB32DIJWXYR6L5}

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	2026-05-18T03:04:05.580216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e83fd9586bf7b06877a1a136be23e5f4c3128cab5dcff949c7b07c30e3c4344

Aliases

arxiv: 1312.6311 · arxiv_version: 1312.6311v1 · doi: 10.48550/arxiv.1312.6311 · pith_short_12: B2B73FMGX55Q · pith_short_16: B2B73FMGX55QNB32 · pith_short_8: B2B73FMG

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/B2B73FMGX55QNB32DIJWXYR6L5 \
  | 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: 0e83fd9586bf7b06877a1a136be23e5f4c3128cab5dcff949c7b07c30e3c4344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55c1234f6755fa4c0bc1723d911b34c633e98473a08a00723fc639281130f956",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-21T22:10:31Z",
    "title_canon_sha256": "a1860b5c39dea96c6628f2f3cb49ccfe361a904fc98dddb942374ada74f4ec62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6311",
    "kind": "arxiv",
    "version": 1
  }
}