Pith Number

pith:6HWF6SAY

pith:2024:6HWF6SAYZQXKAFA56FD2RPIMW7

not attested not anchored not stored refs pending

Harmonic extension technique: probabilistic and analytic perspectives

Mateusz Kwa\'snicki

arxiv:2409.19118 v2 · 2024-09-27 · math.PR · 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{6HWF6SAYZQXKAFA56FD2RPIMW7}

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.

Cited by

1 paper in Pith

Space-Time Duality in Relativistic Diffusion via Subordination

Receipt and verification

First computed	2026-07-05T11:47:14.322090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1ec5f4818cc2ea0141df147a8bd0cb7dcf7a974148b34aab8b24cfb4af475bf

Aliases

arxiv: 2409.19118 · arxiv_version: 2409.19118v2 · doi: 10.48550/arxiv.2409.19118 · pith_short_12: 6HWF6SAYZQXK · pith_short_16: 6HWF6SAYZQXKAFA5 · pith_short_8: 6HWF6SAY

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/6HWF6SAYZQXKAFA56FD2RPIMW7 \
  | 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: f1ec5f4818cc2ea0141df147a8bd0cb7dcf7a974148b34aab8b24cfb4af475bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c881afb0a5c5b56d53e74f4e47a86f0f32742c3feee00d7ba148aad776fd36bd",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-09-27T19:55:04Z",
    "title_canon_sha256": "545ce0cd4a4f1573a0d6620a43dc5eff3ffadb1c49183dd60dbd2d975a9936fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.19118",
    "kind": "arxiv",
    "version": 2
  }
}