Pith Number

pith:CDNUFUU3

pith:2025:CDNUFUU3ZXY2HAMK2SNJJN7YKH

not attested not anchored not stored refs pending

Matching Large Deviation Bounds of the Zero-Range Process in the whole space

Benjamin Fehrman, Benjamin Gess, Daniel Heydecker

arxiv:2507.23452 v1 · 2025-07-31 · 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{CDNUFUU3ZXY2HAMK2SNJJN7YKH}

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

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$

Receipt and verification

First computed	2026-07-05T11:46:12.941104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10db42d29bcdf1a3818ad49a94b7f851d7c4e5b523f986a7484448f7c6eb0c52

Aliases

arxiv: 2507.23452 · arxiv_version: 2507.23452v1 · doi: 10.48550/arxiv.2507.23452 · pith_short_12: CDNUFUU3ZXY2 · pith_short_16: CDNUFUU3ZXY2HAMK · pith_short_8: CDNUFUU3

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/CDNUFUU3ZXY2HAMK2SNJJN7YKH \
  | 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: 10db42d29bcdf1a3818ad49a94b7f851d7c4e5b523f986a7484448f7c6eb0c52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cba93f3ec8d7d866a39a49356c13e1fa89a75797343090165a8404a399f99b4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-31T11:28:03Z",
    "title_canon_sha256": "1dd0da1f7d5c2002a88e7b8df02fe9d9564af73e9be53660158c2cbd43865709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23452",
    "kind": "arxiv",
    "version": 1
  }
}