Pith Number

pith:HPUYYWQE

pith:2011:HPUYYWQEBHTTWCT54ZS33A7FHF

not attested not anchored not stored refs pending

Constant mean curvature and totally umbilical biharmonic surfaces in 3-dimensional geometries

Ye-Lin Ou, Ze-Ping Wang

arxiv:1101.3282 v1 · 2011-01-17 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPUYYWQEBHTTWCT54ZS33A7FHF}

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	2026-05-18T02:03:39.073281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be98c5a0409e73b0a7de665bd83e5394ee3fc75d34994e7d0f207e9269b29e3

Aliases

arxiv: 1101.3282 · arxiv_version: 1101.3282v1 · doi: 10.48550/arxiv.1101.3282 · pith_short_12: HPUYYWQEBHTT · pith_short_16: HPUYYWQEBHTTWCT5 · pith_short_8: HPUYYWQE

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/HPUYYWQEBHTTWCT54ZS33A7FHF \
  | 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: 3be98c5a0409e73b0a7de665bd83e5394ee3fc75d34994e7d0f207e9269b29e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a8a161da8fd48e73668d139a32dc7e341f2d79eb2625f8dbb09926819e45366",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-17T18:07:21Z",
    "title_canon_sha256": "a7c15b8fcd5ed3f0f6b6c0bfe465ecb40a5ba7c9014986a4d52e45c81522b6d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3282",
    "kind": "arxiv",
    "version": 1
  }
}