Pith Number

pith:WPSVEDQR

pith:2015:WPSVEDQRG4FJMIYHGQ3ONUMGQR

not attested not anchored not stored refs pending

M\"obius and Laguerre geometry of Dupin Hypersurfaces

Changping Wang, Jie Qing, Tongzhu Li

arxiv:1503.02914 v1 · 2015-03-10 · 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{WPSVEDQRG4FJMIYHGQ3ONUMGQR}

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	2026-05-18T02:25:12.772597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3e5520e11370a9623073436e6d1868475404870fb61fd47efa2bfc8ad24e2e2

Aliases

arxiv: 1503.02914 · arxiv_version: 1503.02914v1 · doi: 10.48550/arxiv.1503.02914 · pith_short_12: WPSVEDQRG4FJ · pith_short_16: WPSVEDQRG4FJMIYH · pith_short_8: WPSVEDQR

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/WPSVEDQRG4FJMIYHGQ3ONUMGQR \
  | 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: b3e5520e11370a9623073436e6d1868475404870fb61fd47efa2bfc8ad24e2e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4788d99f94368cf44c8ab4b61b0fa87582d64bcae1836b52c569bbfef53fb72e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-10T14:08:48Z",
    "title_canon_sha256": "f47a097cc637e908c8850b9f884508ec9397326c5e76658848368a420c434fd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02914",
    "kind": "arxiv",
    "version": 1
  }
}