Pith Number

pith:XOLRHLVF

pith:2012:XOLRHLVFEP7BPXAX5X5FHPC67D

not attested not anchored not stored refs pending

Localization for random block operators

Martin Gebert, Peter M\"uller

arxiv:1208.1947 v1 · 2012-08-09 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOLRHLVFEP7BPXAX5X5FHPC67D}

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	2026-05-18T01:35:01.806266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb9713aea523fe17dc17edfa53bc5ef8f69b2c419a365450892a68a1cddd8fd5

Aliases

arxiv: 1208.1947 · arxiv_version: 1208.1947v1 · doi: 10.48550/arxiv.1208.1947 · pith_short_12: XOLRHLVFEP7B · pith_short_16: XOLRHLVFEP7BPXAX · pith_short_8: XOLRHLVF

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/XOLRHLVFEP7BPXAX5X5FHPC67D \
  | 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: bb9713aea523fe17dc17edfa53bc5ef8f69b2c419a365450892a68a1cddd8fd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485cc8b62453e9936e292cf8a26a7013f16b613fd95adbba5ffcbd6f16ac3a34",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-09T15:26:03Z",
    "title_canon_sha256": "d0a25f900260b33461a64ee6426ae0a86efb38c91e7d090af4e52b51b3578569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1947",
    "kind": "arxiv",
    "version": 1
  }
}