pith. sign in
Pith Number

pith:XH3X4GIJ

pith:2015:XH3X4GIJVEOJBJOCDL3E3OKUBJ
not attested not anchored not stored refs pending

Comments concerning the Ising model and two letters by N.H. March

Jacques H.H. Perk, Michael E. Fisher

arxiv:1511.08521 v3 · 2015-11-26 · cond-mat.stat-mech · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XH3X4GIJVEOJBJOCDL3E3OKUBJ}

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 2026-05-18T01:18:39.713500Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b9f77e1909a91c90a5c21af64db9540a76525bee8f13ac30eba185e354e0a18e

Aliases

arxiv: 1511.08521 · arxiv_version: 1511.08521v3 · doi: 10.48550/arxiv.1511.08521 · pith_short_12: XH3X4GIJVEOJ · pith_short_16: XH3X4GIJVEOJBJOC · pith_short_8: XH3X4GIJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XH3X4GIJVEOJBJOCDL3E3OKUBJ \
  | 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: b9f77e1909a91c90a5c21af64db9540a76525bee8f13ac30eba185e354e0a18e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "aaeaa46120b44bc58426d6fc6e3ef3ac39b2ca5c74af187ea9c1088cebf951f6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-11-26T22:09:32Z",
    "title_canon_sha256": "7b581732e6195d44daa133bdc5de9a6735f37fb3e432ee0ce534c45b2bf2ad44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08521",
    "kind": "arxiv",
    "version": 3
  }
}