Pith Number

pith:NAK66EAD

pith:2010:NAK66EAD46B33MUDOYAGXAYNWY

not attested not anchored not stored refs pending

Three Dimensional Ising Model, Percolation Theory and Conformal Invariance

Abbas Ali Saberi, Horr Dashti-Naserabadi

arxiv:1012.1485 v1 · 2010-12-07 · 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{NAK66EAD46B33MUDOYAGXAYNWY}

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	2026-05-18T04:31:22.057990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6815ef1003e783bdb28376006b830db6336e77ee403f0e62039ac8b59d436304

Aliases

arxiv: 1012.1485 · arxiv_version: 1012.1485v1 · doi: 10.48550/arxiv.1012.1485 · pith_short_12: NAK66EAD46B3 · pith_short_16: NAK66EAD46B33MUD · pith_short_8: NAK66EAD

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/NAK66EAD46B33MUDOYAGXAYNWY \
  | 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: 6815ef1003e783bdb28376006b830db6336e77ee403f0e62039ac8b59d436304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "367ceffb8fd74c64d5ded7aaead6f00d9a74ce2d29bded4031d6139619e053c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-07T12:20:55Z",
    "title_canon_sha256": "c41021ac8585ab0bc20041b1924c31e58946b41c9149fcb06c7e2845c2370168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1485",
    "kind": "arxiv",
    "version": 1
  }
}