Pith Number

pith:M7MBQWG6

pith:2011:M7MBQWG6GVOSZQKLOABCG4BLRC

not attested not anchored not stored refs pending

Clifford Algebras and New Isoparametric Hypersurfaces

Dirk Ferus, Hans-Friedrich M\"unzner, Hermann Karcher

arxiv:1112.2780 v1 · 2011-12-13 · 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{M7MBQWG6GVOSZQKLOABCG4BLRC}

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	2026-05-18T04:06:32.493405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67d81858de355d2cc14b700223702b889acec2581eadc14c7c3216e1bce31468

Aliases

arxiv: 1112.2780 · arxiv_version: 1112.2780v1 · doi: 10.48550/arxiv.1112.2780 · pith_short_12: M7MBQWG6GVOS · pith_short_16: M7MBQWG6GVOSZQKL · pith_short_8: M7MBQWG6

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/M7MBQWG6GVOSZQKLOABCG4BLRC \
  | 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: 67d81858de355d2cc14b700223702b889acec2581eadc14c7c3216e1bce31468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3759212daa5e25e5e8e7d1d409570ab296186b55e4398f6d89efb2cb340d2d16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-13T03:19:17Z",
    "title_canon_sha256": "1c9f9f3e02500601912658d4f882d084e4776bcab9dc5a961454c1f41c157ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2780",
    "kind": "arxiv",
    "version": 1
  }
}