Pith Number

pith:PYVA3W4O

pith:2008:PYVA3W4OQLWEWPGNUM2EUSHM2L

not attested not anchored not stored refs pending

Extending the Set of Quadratic Exponential Vectors

Ameur Dhahri, Luigi Accardi, Michael Skeide

arxiv:0812.0089 v1 · 2008-11-29 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYVA3W4OQLWEWPGNUM2EUSHM2L}

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	2026-05-18T03:06:52.278679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e2a0ddb8e82ec4b3ccda3344a48ecd2eb9872bf163798097f35c54b85af905d

Aliases

arxiv: 0812.0089 · arxiv_version: 0812.0089v1 · doi: 10.48550/arxiv.0812.0089 · pith_short_12: PYVA3W4OQLWE · pith_short_16: PYVA3W4OQLWEWPGN · pith_short_8: PYVA3W4O

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/PYVA3W4OQLWEWPGNUM2EUSHM2L \
  | 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: 7e2a0ddb8e82ec4b3ccda3344a48ecd2eb9872bf163798097f35c54b85af905d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cd40c96278d71a825469dfd7c9dca96b2a60e40cca29aadc1e42749d3163716",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-11-29T16:22:06Z",
    "title_canon_sha256": "4f6a17f2f6d3f081a94615532585d801f17973384e31b3240b7d2fb731d2ae96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0089",
    "kind": "arxiv",
    "version": 1
  }
}