Pith Number

pith:FCJXJBE6

pith:2025:FCJXJBE6L2OXYWLXQ43ZXLJJLS

not attested not anchored not stored refs pending

Modified L\"uscher zeta-function and the modified effective range expansion in the presence of a long-range force

Akaki Rusetsky, Bai-Long Hoid, Hans-Werner Hammer, Jia-Jun Wu, Jin-yi Pang, Rishabh Bubna

arxiv:2507.18399 v1 · 2025-07-24 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCJXJBE6L2OXYWLXQ43ZXLJJLS}

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	2026-07-05T11:42:47.446071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

289374849e5e9d7c597787379bad295ca5d931328d746deed370f0ec3aade034

Aliases

arxiv: 2507.18399 · arxiv_version: 2507.18399v1 · doi: 10.48550/arxiv.2507.18399 · pith_short_12: FCJXJBE6L2OX · pith_short_16: FCJXJBE6L2OXYWLX · pith_short_8: FCJXJBE6

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/FCJXJBE6L2OXYWLXQ43ZXLJJLS \
  | 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: 289374849e5e9d7c597787379bad295ca5d931328d746deed370f0ec3aade034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7a7357afe2371c56b88222852ef6aca901de95390053f76a892729a645a4321",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2025-07-24T13:32:05Z",
    "title_canon_sha256": "1783e2c5842e8001eb310e14d9541c55afad68f19033374bee8c2576a2e01ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18399",
    "kind": "arxiv",
    "version": 1
  }
}