Pith Number

pith:WI7MHM3C

pith:2013:WI7MHM3CEH44J4NHLSJNVDBS6I

not attested not anchored not stored refs pending

Maximal diameter sphere theorem for manifolds with nonconstant radial curvature

Nathaphon Boonnam

arxiv:1311.4631 v1 · 2013-11-19 · 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{WI7MHM3CEH44J4NHLSJNVDBS6I}

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	2026-05-18T03:06:43.828847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b23ec3b36221f9c4f1a75c92da8c32f21b16764da7b65e0f9ff2a893ec0d6760

Aliases

arxiv: 1311.4631 · arxiv_version: 1311.4631v1 · doi: 10.48550/arxiv.1311.4631 · pith_short_12: WI7MHM3CEH44 · pith_short_16: WI7MHM3CEH44J4NH · pith_short_8: WI7MHM3C

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/WI7MHM3CEH44J4NHLSJNVDBS6I \
  | 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: b23ec3b36221f9c4f1a75c92da8c32f21b16764da7b65e0f9ff2a893ec0d6760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465223974ae320bcfdcb20250bed26e9c78add5daafdf9a3578e458134e89195",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-19T07:00:55Z",
    "title_canon_sha256": "c5f28603e432aa40a41343f7be44f6ce06b859087baf5ff140e29aeb70dd0d8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4631",
    "kind": "arxiv",
    "version": 1
  }
}