Pith Number

pith:4GMPOQ73

pith:2017:4GMPOQ73W22NZKMYPSE7B4CTNA

not attested not anchored not stored refs pending

Infinite cascades of phase transitions in the classical Ising chain

Gennady Y. Chitov, P.N. Timonin

arxiv:1707.06365 v2 · 2017-07-20 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GMPOQ73W22NZKMYPSE7B4CTNA}

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	2026-05-18T00:27:48.313218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e198f743fbb6b4dca9987c89f0f053682f7963c808345e1bd9b6558ad3190885

Aliases

arxiv: 1707.06365 · arxiv_version: 1707.06365v2 · doi: 10.48550/arxiv.1707.06365 · pith_short_12: 4GMPOQ73W22N · pith_short_16: 4GMPOQ73W22NZKMY · pith_short_8: 4GMPOQ73

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/4GMPOQ73W22NZKMYPSE7B4CTNA \
  | 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: e198f743fbb6b4dca9987c89f0f053682f7963c808345e1bd9b6558ad3190885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e996192565c4d167952e16219e0904d9f2703b1759a0c09ff694b53e1d85d35",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-07-20T03:59:07Z",
    "title_canon_sha256": "afa3e3bb3cc28d05244c4b75d2d935d7af785bf452d2d94734577fd363680ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06365",
    "kind": "arxiv",
    "version": 2
  }
}