Pith Number

pith:PLHGAJ2A

pith:2002:PLHGAJ2A3KTVLYVJLC22I2HCNU

not attested not anchored not stored refs pending

Improved harmonic approximation and the 2D Ising model at $T\neq T_{c}$ and $h\neq0$

An\'ibal Iucci, Carlos M. Na\'on

arxiv:hep-th/0209019 v1 · 2002-09-02 · hep-th · cond-mat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLHGAJ2A3KTVLYVJLC22I2HCNU}

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	2026-05-18T01:09:00.143385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ace602740daa755e2a958b5a468e26d34d4a173ab9b996681919f4a992948ed

Aliases

arxiv: hep-th/0209019 · arxiv_version: hep-th/0209019v1 · doi: 10.48550/arxiv.hep-th/0209019 · pith_short_12: PLHGAJ2A3KTV · pith_short_16: PLHGAJ2A3KTVLYVJ · pith_short_8: PLHGAJ2A

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/PLHGAJ2A3KTVLYVJLC22I2HCNU \
  | 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: 7ace602740daa755e2a958b5a468e26d34d4a173ab9b996681919f4a992948ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339f2f4f8b42a97a098009bf9f43a00e70420e5f359692164a83d0c16712c5da",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-09-02T15:57:43Z",
    "title_canon_sha256": "4d9c361c49b94862b228e8309efbc5a039c8b75cc0c4204a11a49be263df0b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0209019",
    "kind": "arxiv",
    "version": 1
  }
}