Pith Number

pith:R4QEXL7S

pith:2025:R4QEXL7SHZBY2YUFVNA6KSR2L5

not attested not anchored not stored refs pending

Exponential decay in $O(n)$-invariant quantum spin systems

Jakob E. Bj\"ornberg, Kieran Ryan

arxiv:2506.22254 v1 · 2025-06-27 · math-ph · math.MP · 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{R4QEXL7SHZBY2YUFVNA6KSR2L5}

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	2026-07-05T11:28:24.268654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f204baff23e438d6285ab41e54a3a5f6e0f9a3bb30d0173d669180d8615df74

Aliases

arxiv: 2506.22254 · arxiv_version: 2506.22254v1 · doi: 10.48550/arxiv.2506.22254 · pith_short_12: R4QEXL7SHZBY · pith_short_16: R4QEXL7SHZBY2YUF · pith_short_8: R4QEXL7S

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/R4QEXL7SHZBY2YUFVNA6KSR2L5 \
  | 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: 8f204baff23e438d6285ab41e54a3a5f6e0f9a3bb30d0173d669180d8615df74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19325fc826a14e9e8bde9cd1b1820faa8bb12a05c147fa4e60074b90662af459",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-06-27T14:21:32Z",
    "title_canon_sha256": "2a505672f085183a9f64f2f219ce6834503883344d854c050ebdc9f861b4c18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22254",
    "kind": "arxiv",
    "version": 1
  }
}