Pith Number

pith:FBG64GFY

pith:2011:FBG64GFYOCCI3SXG7BPOMQVQOR

not attested not anchored not stored refs pending

Gibbsian properties and convergence of the iterates for the Block Averaging Transformation

Emilio N.M. Cirillo, E. Olivieri, L. Bertini

arxiv:1110.6032 v1 · 2011-10-27 · 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{FBG64GFYOCCI3SXG7BPOMQVQOR}

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	2026-05-18T04:10:09.867256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

284dee18b870848dcae6f85ee642b074627dd9e4bc2c5577aa5c2ef8a9a6b57c

Aliases

arxiv: 1110.6032 · arxiv_version: 1110.6032v1 · doi: 10.48550/arxiv.1110.6032 · pith_short_12: FBG64GFYOCCI · pith_short_16: FBG64GFYOCCI3SXG · pith_short_8: FBG64GFY

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/FBG64GFYOCCI3SXG7BPOMQVQOR \
  | 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: 284dee18b870848dcae6f85ee642b074627dd9e4bc2c5577aa5c2ef8a9a6b57c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067e509ce9c013b34814a9386af7949a8a01f0514f8d181e14e6a604a4de0ab3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-10-27T09:46:28Z",
    "title_canon_sha256": "cf12db85938ea07d506011f9d92183b08155019bec1816ecd91f43e791b0dd30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6032",
    "kind": "arxiv",
    "version": 1
  }
}