Pith Number

pith:GJ5MIWA3

pith:2014:GJ5MIWA3B7H55DQLUUHP6UZZFC

not attested not anchored not stored refs pending

Dupin hypersurfaces in Lie sphere geometry

Gary R. Jensen

arxiv:1405.5198 v1 · 2014-05-20 · 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{GJ5MIWA3B7H55DQLUUHP6UZZFC}

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	2026-05-18T02:51:25.881487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

327ac4581b0fcfde8e0ba50eff5339289c332d8bb67726337eadf4aaf6ab4315

Aliases

arxiv: 1405.5198 · arxiv_version: 1405.5198v1 · doi: 10.48550/arxiv.1405.5198 · pith_short_12: GJ5MIWA3B7H5 · pith_short_16: GJ5MIWA3B7H55DQL · pith_short_8: GJ5MIWA3

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/GJ5MIWA3B7H55DQLUUHP6UZZFC \
  | 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: 327ac4581b0fcfde8e0ba50eff5339289c332d8bb67726337eadf4aaf6ab4315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293f6bdcf10d248a69c0ef1ea1cfe669652774b97cdd03fe16f247d9fd70fdeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-05-20T19:38:57Z",
    "title_canon_sha256": "9cf5946e2781feece1c92df00302bbb513bf57c6a8bfe9ab35b4c72b93dd550a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5198",
    "kind": "arxiv",
    "version": 1
  }
}