Pith Number

pith:NWHCEM57

pith:2015:NWHCEM57BHHHZ4VGELQD2AF5HI

not attested not anchored not stored refs pending

Layered systems at the mean field critical temperature

Domingos H. U. Marchetti, Errico Presutti, Immacolata Merola, Luiz Renato Fontes, Maria Eulalia Vares

arxiv:1504.06767 v1 · 2015-04-25 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWHCEM57BHHHZ4VGELQD2AF5HI}

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	2026-05-18T01:31:39.453718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d8e2233bf09ce7cf2a622e03d00bd3a1b3a90083d3403382e3666043ecd2233

Aliases

arxiv: 1504.06767 · arxiv_version: 1504.06767v1 · doi: 10.48550/arxiv.1504.06767 · pith_short_12: NWHCEM57BHHH · pith_short_16: NWHCEM57BHHHZ4VG · pith_short_8: NWHCEM57

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/NWHCEM57BHHHZ4VGELQD2AF5HI \
  | 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: 6d8e2233bf09ce7cf2a622e03d00bd3a1b3a90083d3403382e3666043ecd2233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bef0b2b7953bdbfc5d0bb1a069190b409d13aa8dde7a320f26ffe674ac1506c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-25T22:36:54Z",
    "title_canon_sha256": "4fbdd027455075b8697f4e5c40e975357ec027e2a7a01232acbbe25f95a32c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06767",
    "kind": "arxiv",
    "version": 1
  }
}