Pith Number

pith:4CEVNEMX

pith:2013:4CEVNEMXCTMXVK7AXZ7KZBCAGH

not attested not anchored not stored refs pending

An optimal lower curvature bound for convex hypersurfaces in Riemannian manifolds

Anton Petrunin, Stephanie Alexander, Vitali Kapovitch

arxiv:1303.5884 v1 · 2013-03-23 · 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{4CEVNEMXCTMXVK7AXZ7KZBCAGH}

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	2026-05-18T03:30:01.018616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e08956919714d97aabe0be7eac844031cefbde40b1c7b95a9e2f180f00874961

Aliases

arxiv: 1303.5884 · arxiv_version: 1303.5884v1 · doi: 10.48550/arxiv.1303.5884 · pith_short_12: 4CEVNEMXCTMX · pith_short_16: 4CEVNEMXCTMXVK7A · pith_short_8: 4CEVNEMX

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/4CEVNEMXCTMXVK7AXZ7KZBCAGH \
  | 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: e08956919714d97aabe0be7eac844031cefbde40b1c7b95a9e2f180f00874961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d312431722b030629af8465dc0af5cef4de478dd8e38924bfd54e573c3e9ef",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-23T20:37:43Z",
    "title_canon_sha256": "563ee54944a58ff8bd19100c503aed7cfa52e2f48e6cb85651c82e530c889f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5884",
    "kind": "arxiv",
    "version": 1
  }
}