Pith Number

pith:SAIDQMMF

pith:2014:SAIDQMMFBLAJJQYRU4KEUGUUCH

not attested not anchored not stored refs pending

Liouville property, Wiener's test and unavoidable sets for Hunt processes

Wolfhard Hansen

arxiv:1409.7532 v3 · 2014-09-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SAIDQMMFBLAJJQYRU4KEUGUUCH}

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	2026-05-18T02:28:40.393502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90103831850ac094c311a7144a1a9411cb6aaa8577cf630be85a56f335d96cf2

Aliases

arxiv: 1409.7532 · arxiv_version: 1409.7532v3 · doi: 10.48550/arxiv.1409.7532 · pith_short_12: SAIDQMMFBLAJ · pith_short_16: SAIDQMMFBLAJJQYR · pith_short_8: SAIDQMMF

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/SAIDQMMFBLAJJQYRU4KEUGUUCH \
  | 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: 90103831850ac094c311a7144a1a9411cb6aaa8577cf630be85a56f335d96cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb7ba9346ffd2f1e4bfece0808a71b3ee37b1a0f43cfa08024d92d201635230",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-26T11:03:50Z",
    "title_canon_sha256": "c2bbbeb34d33f826174da982093cb56a6b99d67000d317b3e3cf5bb3fa88ff57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7532",
    "kind": "arxiv",
    "version": 3
  }
}