Pith Number

pith:T6DIV4IR

pith:2025:T6DIV4IRJ4N6RW3G6LPWM2FQQV

not attested not anchored not stored refs pending

Long range to short range crossover in one dimension

Mrinal Sarkar, Nicol\`o Defenu, Tilman Enss

arxiv:2507.08092 v1 · 2025-07-10 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6DIV4IRJ4N6RW3G6LPWM2FQQV}

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	2026-07-05T11:35:17.196436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f868af1114f1be8db66f2df6668b0855acf27ff8ed9fa887524354907962c5d

Aliases

arxiv: 2507.08092 · arxiv_version: 2507.08092v1 · doi: 10.48550/arxiv.2507.08092 · pith_short_12: T6DIV4IRJ4N6 · pith_short_16: T6DIV4IRJ4N6RW3G · pith_short_8: T6DIV4IR

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/T6DIV4IRJ4N6RW3G6LPWM2FQQV \
  | 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: 9f868af1114f1be8db66f2df6668b0855acf27ff8ed9fa887524354907962c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79776c5e7dddde8fec608b5361e9ef7200628e838fa04c797dca34c0fcf5e993",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-07-10T18:06:54Z",
    "title_canon_sha256": "bf8aab9d3ec5b61375a1e5f4d48e0875ccf040897b04b32e9ed661dc76fd9454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08092",
    "kind": "arxiv",
    "version": 1
  }
}