Pith Number

pith:GPHO33KF

pith:2010:GPHO33KF5EESQITAIZZU47J7ET

not attested not anchored not stored refs pending

Spin correlation function in 2D statistical mechanics models with inhomogeneous line defects

Carlos Na\'on, Marta Trobo

arxiv:1012.5139 v1 · 2010-12-23 · 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{GPHO33KF5EESQITAIZZU47J7ET}

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	2026-05-18T04:28:29.139099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ceeded45e90928226046734e7d3f24e349b31bac1552a2c1d25aff30ae789b

Aliases

arxiv: 1012.5139 · arxiv_version: 1012.5139v1 · doi: 10.48550/arxiv.1012.5139 · pith_short_12: GPHO33KF5EES · pith_short_16: GPHO33KF5EESQITA · pith_short_8: GPHO33KF

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/GPHO33KF5EESQITAIZZU47J7ET \
  | 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: 33ceeded45e90928226046734e7d3f24e349b31bac1552a2c1d25aff30ae789b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65352fadfc4d8428a3fe524e6fbc3addadc05a6b4b024319bb5117be81e4595",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-23T03:42:43Z",
    "title_canon_sha256": "17c753d393993c58754284872891ab722aceddd27afed06451555c346aeda503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5139",
    "kind": "arxiv",
    "version": 1
  }
}