Pith Number

pith:4YHMFF7N

pith:2011:4YHMFF7NVABGZJDPNYUPRDNQMW

not attested not anchored not stored refs pending

Geometric inequalities and rigidity theorems on equatorial spheres

Damin Wu, Lan-Hsuan Huang

arxiv:1104.0406 v2 · 2011-04-03 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YHMFF7NVABGZJDPNYUPRDNQMW}

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	2026-05-18T00:54:04.190345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60ec297eda8026ca46f6e28f88db0658cd0980c45325386181fb9e9045b3235

Aliases

arxiv: 1104.0406 · arxiv_version: 1104.0406v2 · doi: 10.48550/arxiv.1104.0406 · pith_short_12: 4YHMFF7NVABG · pith_short_16: 4YHMFF7NVABGZJDP · pith_short_8: 4YHMFF7N

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/4YHMFF7NVABGZJDPNYUPRDNQMW \
  | 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: e60ec297eda8026ca46f6e28f88db0658cd0980c45325386181fb9e9045b3235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca6ce9166d385c8f9a65a68d6bba8a7fdce8238defb1949fe8655857dc61aee9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-03T17:09:52Z",
    "title_canon_sha256": "f873810c3a8c0035f9815d3c5e10c137371c3c3f456d387365fec6ccb85c1235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0406",
    "kind": "arxiv",
    "version": 2
  }
}