Pith Number

pith:WRBCTJTW

pith:2012:WRBCTJTWREBKT4VAM47FRZXLU6

not attested not anchored not stored refs pending

Distances between Poisson k-flats

Christoph Thaele, Matthias Schulte

arxiv:1206.4807 v1 · 2012-06-21 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRBCTJTWREBKT4VAM47FRZXLU6}

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	2026-05-18T02:48:17.991425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b44229a6768902a9f2a0673e58e6eba7af27948afd9861c7a7f45f6542e12a17

Aliases

arxiv: 1206.4807 · arxiv_version: 1206.4807v1 · doi: 10.48550/arxiv.1206.4807 · pith_short_12: WRBCTJTWREBK · pith_short_16: WRBCTJTWREBKT4VA · pith_short_8: WRBCTJTW

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/WRBCTJTWREBKT4VAM47FRZXLU6 \
  | 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: b44229a6768902a9f2a0673e58e6eba7af27948afd9861c7a7f45f6542e12a17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b90489f3054ba8fc8a8e7d6273663d0b14ac8006aed74867f09606a2a7e59f60",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-21T08:23:55Z",
    "title_canon_sha256": "c57fb579a16a343dbe49837b79b954f9ff1d14c8cd673dfea746c31cfb68a46f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4807",
    "kind": "arxiv",
    "version": 1
  }
}