Pith Number

pith:55KLR3HB

pith:2007:55KLR3HB7VJVFCAUXWQKZOGETY

not attested not anchored not stored refs pending

Random Sampling of Entire Functions of Exponential Type in Several Variables

Karlheinz Gr\"ochenig, Richard F. Bass

arxiv:0706.3818 v2 · 2007-06-26 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55KLR3HB7VJVFCAUXWQKZOGETY}

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	2026-05-18T04:23:33.359818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef54b8ece1fd53528814bda0acb8c49e0d2712c9df8fdac3ca0750c1d494cfc2

Aliases

arxiv: 0706.3818 · arxiv_version: 0706.3818v2 · doi: 10.48550/arxiv.0706.3818 · pith_short_12: 55KLR3HB7VJV · pith_short_16: 55KLR3HB7VJVFCAU · pith_short_8: 55KLR3HB

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/55KLR3HB7VJVFCAUXWQKZOGETY \
  | 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: ef54b8ece1fd53528814bda0acb8c49e0d2712c9df8fdac3ca0750c1d494cfc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dd07817bdf019feab568a0fdaecb6c8c33e8d1dadf7c8d0fd931b2d44d84447",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-06-26T12:57:20Z",
    "title_canon_sha256": "1c600b2e9aa945b3e2b78332691b1cfceb3beb5aed8e269bacf239c6b43ca2ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3818",
    "kind": "arxiv",
    "version": 2
  }
}