Pith Number

pith:QNVHMP3X

pith:2002:QNVHMP3X77WN3SKLJKMC5OJFG5

not attested not anchored not stored refs pending

Multivector Functions of a Multivector Variable

A. M. Moya, V. V. Fern\'andez, W. A. Rodrigues Jr

arxiv:math/0212223 v2 · 2002-12-17 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNVHMP3X77WN3SKLJKMC5OJFG5}

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	2026-05-18T01:08:59.841694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836a763f77ffecddc94b4a982eb9253764a9963ad1c1ea8747c90c3d158a4470

Aliases

arxiv: math/0212223 · arxiv_version: math/0212223v2 · doi: 10.48550/arxiv.math/0212223 · pith_short_12: QNVHMP3X77WN · pith_short_16: QNVHMP3X77WN3SKL · pith_short_8: QNVHMP3X

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/QNVHMP3X77WN3SKLJKMC5OJFG5 \
  | 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: 836a763f77ffecddc94b4a982eb9253764a9963ad1c1ea8747c90c3d158a4470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa897458ae85e63bc09de88fd0da070029c85470302067cd3535d5ee142fdd59",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2002-12-17T00:59:18Z",
    "title_canon_sha256": "8584a60853cdb23b03c228f0331714295a4b7702b3c5572d9f2c842bff3a8fde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212223",
    "kind": "arxiv",
    "version": 2
  }
}