Pith Number

pith:5SGJ6G6G

pith:2014:5SGJ6G6GGO5PRINGIN4H5E2YJM

not attested not anchored not stored refs pending

Biharmonic hypersurfaces with three distinct principal curvatures in spheres

Yu Fu

arxiv:1412.5726 v2 · 2014-12-18 · 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{5SGJ6G6GGO5PRINGIN4H5E2YJM}

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	2026-05-18T02:30:54.498832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec8c9f1bc633baf8a1a643787e93584b00db500b13ca71ef3d8e5b58210a4b86

Aliases

arxiv: 1412.5726 · arxiv_version: 1412.5726v2 · doi: 10.48550/arxiv.1412.5726 · pith_short_12: 5SGJ6G6GGO5P · pith_short_16: 5SGJ6G6GGO5PRING · pith_short_8: 5SGJ6G6G

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/5SGJ6G6GGO5PRINGIN4H5E2YJM \
  | 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: ec8c9f1bc633baf8a1a643787e93584b00db500b13ca71ef3d8e5b58210a4b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8c88ad290f60e34994ef5f2b521baebb497a055fea1cf4adbc8e672a67d4146",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-18T05:54:56Z",
    "title_canon_sha256": "5c6e239657e9267b4895c66da04a1a5dac3c1728c322bce4da085437b9ef03d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5726",
    "kind": "arxiv",
    "version": 2
  }
}