Pith Number

pith:IXH2KBK4

pith:2015:IXH2KBK4HVBRN357VETVMAOFS7

not attested not anchored not stored refs pending

Renormalization-group theory for temperature-driven first-order phase transitions in scalar models

Fan Zhong, Ning Liang

arxiv:1511.08258 v2 · 2015-11-26 · 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{IXH2KBK4HVBRN357VETVMAOFS7}

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	2026-05-18T01:12:25.121005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45cfa5055c3d4316efbfa9275601c597ca7812d38451981a09abf870ad8cbdc4

Aliases

arxiv: 1511.08258 · arxiv_version: 1511.08258v2 · doi: 10.48550/arxiv.1511.08258 · pith_short_12: IXH2KBK4HVBR · pith_short_16: IXH2KBK4HVBRN357 · pith_short_8: IXH2KBK4

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/IXH2KBK4HVBRN357VETVMAOFS7 \
  | 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: 45cfa5055c3d4316efbfa9275601c597ca7812d38451981a09abf870ad8cbdc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "093b8f4c4ba2c69b18c2a33afd19f41ca1b9159ec6243ecbe26271eb4c1f1b7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-11-26T00:41:33Z",
    "title_canon_sha256": "e84be8e42033addd9dbc9759723bcd7f00eafe2c6ed3d1bb819d5cf6429cb230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08258",
    "kind": "arxiv",
    "version": 2
  }
}