Pith Number

pith:GQSPB5ME

pith:2012:GQSPB5MEAIIMCLI56MJUWRA2BT

not attested not anchored not stored refs pending

Remarks on Hilbert identities, isometric embeddings, and invariant cubature

Hiroshi Nozaki, Masanori Sawa

arxiv:1204.1779 v1 · 2012-04-09 · math.NA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQSPB5MEAIIMCLI56MJUWRA2BT}

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	2026-05-18T03:58:15.210335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3424f0f5840210c12d1df3134b441a0cdf815190086fa3ffed98b1c290b4d6cf

Aliases

arxiv: 1204.1779 · arxiv_version: 1204.1779v1 · doi: 10.48550/arxiv.1204.1779 · pith_short_12: GQSPB5MEAIIM · pith_short_16: GQSPB5MEAIIMCLI5 · pith_short_8: GQSPB5ME

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/GQSPB5MEAIIMCLI56MJUWRA2BT \
  | 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: 3424f0f5840210c12d1df3134b441a0cdf815190086fa3ffed98b1c290b4d6cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd4bd1bafe544baa8124ea15bca0055e8f24e19f30a6a5a213d6ac83b64fe55",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-04-09T01:18:05Z",
    "title_canon_sha256": "d93f9c5284c7db4d246efcaf82261aed13308185922a2625c89d13cf37a0e509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1779",
    "kind": "arxiv",
    "version": 1
  }
}