Pith Number

pith:27PI7BRK

pith:2014:27PI7BRKKKK3ZVMGE2PLCJX47H

not attested not anchored not stored refs pending

Spin systems on hypercubic Bethe lattices: A Bethe-Peierls approach

Alexander Mozeika, Anthony CC Coolen

arxiv:1412.6362 v2 · 2014-12-19 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27PI7BRKKKK3ZVMGE2PLCJX47H}

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	2026-05-18T02:02:08.074808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7de8f862a5295bcd586269eb126fcf9cc095c3e4bf221b5cc68465279c38051

Aliases

arxiv: 1412.6362 · arxiv_version: 1412.6362v2 · doi: 10.48550/arxiv.1412.6362 · pith_short_12: 27PI7BRKKKK3 · pith_short_16: 27PI7BRKKKK3ZVMG · pith_short_8: 27PI7BRK

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/27PI7BRKKKK3ZVMGE2PLCJX47H \
  | 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: d7de8f862a5295bcd586269eb126fcf9cc095c3e4bf221b5cc68465279c38051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50fdfd4342f9ad471564fbc9c34c73dafa98bb774e0f772e61cd0562e22f6b14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2014-12-19T14:55:54Z",
    "title_canon_sha256": "cb626d2b0bf9c6f19f3228e2e918551518b15c7041be191faf278f4b0696c9c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6362",
    "kind": "arxiv",
    "version": 2
  }
}