Pith Number

pith:JAWRSYPK

pith:2014:JAWRSYPKN6EDCT6SPV75UKDV7Q

not attested not anchored not stored refs pending

Optimal sweepouts of a Riemannian 2-sphere

Gregory R. Chambers, Yevgeny Liokumovich

arxiv:1411.6349 v3 · 2014-11-24 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JAWRSYPKN6EDCT6SPV75UKDV7Q}

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	2026-05-18T01:11:55.305540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

482d1961ea6f88314fd27d7fda2875fc102ff190313fb62b86a32182fdea237d

Aliases

arxiv: 1411.6349 · arxiv_version: 1411.6349v3 · doi: 10.48550/arxiv.1411.6349 · pith_short_12: JAWRSYPKN6ED · pith_short_16: JAWRSYPKN6EDCT6S · pith_short_8: JAWRSYPK

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/JAWRSYPKN6EDCT6SPV75UKDV7Q \
  | 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: 482d1961ea6f88314fd27d7fda2875fc102ff190313fb62b86a32182fdea237d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d79d11a1db9ec1788e6760104268c76c09af343239262ab3c4f21e631ac7f190",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-24T05:13:28Z",
    "title_canon_sha256": "bcf664a8674ef12ec9a110546b1bf2bf9a23ed65a87a3e9882450aa9ec46fcc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6349",
    "kind": "arxiv",
    "version": 3
  }
}