Pith Number

pith:MWJIJEU4

pith:2013:MWJIJEU4SRLVIXMH3AZRP65L22

not attested not anchored not stored refs pending

Operator scaled Wiener bridges

Matyas Barczy, Peter Kern, Vincent Krause

arxiv:1308.6134 v2 · 2013-08-28 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWJIJEU4SRLVIXMH3AZRP65L22}

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	2026-05-18T01:10:41.518532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

659284929c9457545d87d83317fbabd6be3c6cee7a781d0c5e8cae15b3a2391a

Aliases

arxiv: 1308.6134 · arxiv_version: 1308.6134v2 · doi: 10.48550/arxiv.1308.6134 · pith_short_12: MWJIJEU4SRLV · pith_short_16: MWJIJEU4SRLVIXMH · pith_short_8: MWJIJEU4

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/MWJIJEU4SRLVIXMH3AZRP65L22 \
  | 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: 659284929c9457545d87d83317fbabd6be3c6cee7a781d0c5e8cae15b3a2391a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "430d00450a9b2ff3caec821d40ac5d75c415521cde70cd9ed0518f031c4986ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-28T11:41:30Z",
    "title_canon_sha256": "04b5db12d7f6e89e530657a58285b5bba96e5b68e54c843c2d59a28e65f5f6d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6134",
    "kind": "arxiv",
    "version": 2
  }
}