Pith Number

pith:LKXNDAMX

pith:2012:LKXNDAMXP3PJBGZJTM2XAXVJ3Y

not attested not anchored not stored refs pending

Extension of positive definite functions

Palle Jorgensen, Robert Niedzialomski

arxiv:1212.3047 v3 · 2012-12-13 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKXNDAMXP3PJBGZJTM2XAXVJ3Y}

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	2026-05-18T03:03:32.462648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aaed181977ede909b299b35705ea9de2e1820c067c278497ebff77d61099a5a

Aliases

arxiv: 1212.3047 · arxiv_version: 1212.3047v3 · doi: 10.48550/arxiv.1212.3047 · pith_short_12: LKXNDAMXP3PJ · pith_short_16: LKXNDAMXP3PJBGZJ · pith_short_8: LKXNDAMX

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/LKXNDAMXP3PJBGZJTM2XAXVJ3Y \
  | 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: 5aaed181977ede909b299b35705ea9de2e1820c067c278497ebff77d61099a5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a2052555e73c20beab3fe58bf03ae8229675864bef2be7ebb48da80d023c3d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-12-13T04:22:11Z",
    "title_canon_sha256": "a8a15c0bcef4dd5ae2cc8fb4ea9ff211b0c9d5e5859ed0788a44d6cf7fbc2581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3047",
    "kind": "arxiv",
    "version": 3
  }
}