Pith Number

pith:IMJFZ7DU

pith:2013:IMJFZ7DUWDCYNMKIOJ4AIAJ4W4

not attested not anchored not stored refs pending

Yukawa Potential, Panharmonic Measure and Brownian Motion

Antti Rasila, Tommi Sottinen

arxiv:1310.2167 v3 · 2013-10-08 · math.CV · math.AP · 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{IMJFZ7DUWDCYNMKIOJ4AIAJ4W4}

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	2026-05-18T01:12:23.069252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43125cfc74b0c586b148727804013cb71bb918243e3d7a498f28cfd1b5a97a5e

Aliases

arxiv: 1310.2167 · arxiv_version: 1310.2167v3 · doi: 10.48550/arxiv.1310.2167 · pith_short_12: IMJFZ7DUWDCY · pith_short_16: IMJFZ7DUWDCYNMKI · pith_short_8: IMJFZ7DU

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/IMJFZ7DUWDCYNMKIOJ4AIAJ4W4 \
  | 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: 43125cfc74b0c586b148727804013cb71bb918243e3d7a498f28cfd1b5a97a5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ca9fd7eac5fb10a6ff45863c3db1d1ae0ff96c7a089cd6136f5b73d579c5ab",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-10-08T15:10:28Z",
    "title_canon_sha256": "8a2c2c7e8ba9544cef7ef90e7c8d26fe29006fc9328332938bb7e0d471100165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2167",
    "kind": "arxiv",
    "version": 3
  }
}