Pith Number

pith:Y6GWT6UB

pith:2015:Y6GWT6UBYAF2JT3P7GOPYQ4UM5

not attested not anchored not stored refs pending

Self-consistent theory for inhomogeneous systems with mesoscopic fluctuations

Alina Ciach, Wojciech T. Gozdz

arxiv:1512.08364 v2 · 2015-12-28 · 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{Y6GWT6UBYAF2JT3P7GOPYQ4UM5}

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	2026-05-18T01:04:21.806874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c78d69fa81c00ba4cf6ff99cfc439467790a4eeda36452a057b4d0127864a2f8

Aliases

arxiv: 1512.08364 · arxiv_version: 1512.08364v2 · doi: 10.48550/arxiv.1512.08364 · pith_short_12: Y6GWT6UBYAF2 · pith_short_16: Y6GWT6UBYAF2JT3P · pith_short_8: Y6GWT6UB

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/Y6GWT6UBYAF2JT3P7GOPYQ4UM5 \
  | 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: c78d69fa81c00ba4cf6ff99cfc439467790a4eeda36452a057b4d0127864a2f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0fb1eade4c6351e99687817af984646309f2fc5bb1141ce4d05cadbf0cb5022",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-12-28T10:14:49Z",
    "title_canon_sha256": "7fbd6c7a44b622c1590fbf959e4a07784c924cac9fbf6d6b98de74b3d7997a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08364",
    "kind": "arxiv",
    "version": 2
  }
}