Pith Number

pith:NZKGGIX3

pith:2015:NZKGGIX3D7BNVB4XJE5RR3WH5R

not attested not anchored not stored refs pending

Sharp thresholds for Gibbs-non-Gibbs transition in the fuzzy Potts model with a Kac-type interaction

B. Jahnel, C. Kuelske

arxiv:1502.04238 v2 · 2015-02-14 · 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{NZKGGIX3D7BNVB4XJE5RR3WH5R}

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	2026-05-18T01:20:26.271682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e546322fb1fc2da8797493b18eec7ec612b7283d03a177082c29268e2403fd2

Aliases

arxiv: 1502.04238 · arxiv_version: 1502.04238v2 · doi: 10.48550/arxiv.1502.04238 · pith_short_12: NZKGGIX3D7BN · pith_short_16: NZKGGIX3D7BNVB4X · pith_short_8: NZKGGIX3

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/NZKGGIX3D7BNVB4XJE5RR3WH5R \
  | 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: 6e546322fb1fc2da8797493b18eec7ec612b7283d03a177082c29268e2403fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53dcbe245ce65e559d08bd4b83b40b9e07e0cf79c291bdd614652eeabf616eb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-14T20:06:41Z",
    "title_canon_sha256": "9a216dceaf5659e15b74370a6314a58bf17efdb3edde3d36482a1dd3df11015f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04238",
    "kind": "arxiv",
    "version": 2
  }
}