Pith Number

pith:LP7GMMQH

pith:2012:LP7GMMQHR52WHCR74OMDJHMYDX

not attested not anchored not stored refs pending

Hyperbolic Polynomials and Generalized Clifford Algebras

Andreas Thom, Tim Netzer

arxiv:1207.3159 v1 · 2012-07-13 · math.AG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LP7GMMQHR52WHCR74OMDJHMYDX}

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	2026-05-18T03:51:12.346919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bfe6632078f75638a3fe398349d981dd5dd32e25de5cce533a8d1787f14722b

Aliases

arxiv: 1207.3159 · arxiv_version: 1207.3159v1 · doi: 10.48550/arxiv.1207.3159 · pith_short_12: LP7GMMQHR52W · pith_short_16: LP7GMMQHR52WHCR7 · pith_short_8: LP7GMMQH

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/LP7GMMQHR52WHCR74OMDJHMYDX \
  | 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: 5bfe6632078f75638a3fe398349d981dd5dd32e25de5cce533a8d1787f14722b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b36d3e536098b086d1cb37abe4ee8a82faa7bcfb167106423fbdf5e3798edbe",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-13T07:30:50Z",
    "title_canon_sha256": "2a03cea2e4e6ef339e926eaf703b26e68f56c084cf3af507f592bfc8011fe604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3159",
    "kind": "arxiv",
    "version": 1
  }
}