Pith Number

pith:R7UAWERI

pith:2012:R7UAWERIMB7EFT2O37GNJJYDHH

not attested not anchored not stored refs pending

A characterization of D-norms and their generators based on the family of spectral functions

Stefan Aulbach

arxiv:1207.0625 v1 · 2012-07-03 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7UAWERIMB7EFT2O37GNJJYDHH}

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	2026-05-18T03:51:57.628005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe80b1228607e42cf4edfccd4a70339f6255fa6895d951980964b0d1c9efe8b

Aliases

arxiv: 1207.0625 · arxiv_version: 1207.0625v1 · doi: 10.48550/arxiv.1207.0625 · pith_short_12: R7UAWERIMB7E · pith_short_16: R7UAWERIMB7EFT2O · pith_short_8: R7UAWERI

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/R7UAWERIMB7EFT2O37GNJJYDHH \
  | 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: 8fe80b1228607e42cf4edfccd4a70339f6255fa6895d951980964b0d1c9efe8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244111483e527d2e1023e22b836ef2953aba66b6781826923449caa98ee81d9d",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-03T10:07:48Z",
    "title_canon_sha256": "a2a75adedd3f2411751c13fb8a2aa1d13919677a40e309063e5fa570faa4ddf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0625",
    "kind": "arxiv",
    "version": 1
  }
}