Pith Number

pith:XVQWV3BZ

pith:2021:XVQWV3BZBEIDEW45FJ7BAVGIK2

not attested not anchored not stored refs pending

Extreme local extrema of the sine-Gordon field

Michael Hofstetter

arxiv:2111.04842 v3 · 2021-11-08 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVQWV3BZBEIDEW45FJ7BAVGIK2}

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

Extremal process of the local time of simple random walk on a regular tree

Receipt and verification

First computed	2026-07-05T07:44:50.776809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd616aec390910325b9d2a7e1054c85698c5c45b8a9a618cab9f69321c7c4af6

Aliases

arxiv: 2111.04842 · arxiv_version: 2111.04842v3 · doi: 10.48550/arxiv.2111.04842 · pith_short_12: XVQWV3BZBEID · pith_short_16: XVQWV3BZBEIDEW45 · pith_short_8: XVQWV3BZ

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/XVQWV3BZBEIDEW45FJ7BAVGIK2 \
  | 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: bd616aec390910325b9d2a7e1054c85698c5c45b8a9a618cab9f69321c7c4af6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1452fd4dfd65cf566750d75afc0e0f3fb2ffa2a22b7a55c431bf575f628e1ed1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-11-08T21:33:52Z",
    "title_canon_sha256": "849076ffd70074451c5d38db5b7a5ee2a46e6ea2c9ea0c8b42eea7b25144da55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04842",
    "kind": "arxiv",
    "version": 3
  }
}