Pith Number

pith:5HSSSS2B

pith:2005:5HSSSS2BPNN7QH75O65RTLP3PF

not attested not anchored not stored refs pending

Beyond series expansions: mathematical structures for the susceptibility of the square lattice Ising model

J.-M. Maillard, N. Zenine, S. Boukraa, S. Hassani

arxiv:hep-th/0509187 v2 · 2005-09-25 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HSSSS2BPNN7QH75O65RTLP3PF}

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	2026-05-18T01:05:56.842070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e5294b417b5bf81ffd77bb19adfb7940ea1cefa4eb61ceb331ef3d008c560c

Aliases

arxiv: hep-th/0509187 · arxiv_version: hep-th/0509187v2 · doi: 10.48550/arxiv.hep-th/0509187 · pith_short_12: 5HSSSS2BPNN7 · pith_short_16: 5HSSSS2BPNN7QH75 · pith_short_8: 5HSSSS2B

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/5HSSSS2BPNN7QH75O65RTLP3PF \
  | 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: e9e5294b417b5bf81ffd77bb19adfb7940ea1cefa4eb61ceb331ef3d008c560c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "929110fedc2d2ac359597ec5afda72bae186633239f8276f1183b26cdd5b8623",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-09-25T13:08:12Z",
    "title_canon_sha256": "27c2392bc04ebf4c1729fb78cf9395022044ad146ec1bbfa494c84bea15ebf48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0509187",
    "kind": "arxiv",
    "version": 2
  }
}