Pith Number

pith:MOVROLGV

pith:2018:MOVROLGVFCC2JFO33Z36L5I56U

not attested not anchored not stored refs pending

Uniqueness and Non-Uniqueness for Spin-Glass Ground States on Trees

Johannes B\"aumler

arxiv:1812.02469 v2 · 2018-12-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOVROLGVFCC2JFO33Z36L5I56U}

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	2026-05-17T23:40:33.984741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ab172cd52885a495dbde77e5f51df51fa14b910f0fe3b8271e4893d2da8830

Aliases

arxiv: 1812.02469 · arxiv_version: 1812.02469v2 · doi: 10.48550/arxiv.1812.02469 · pith_short_12: MOVROLGVFCC2 · pith_short_16: MOVROLGVFCC2JFO3 · pith_short_8: MOVROLGV

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/MOVROLGVFCC2JFO33Z36L5I56U \
  | 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: 63ab172cd52885a495dbde77e5f51df51fa14b910f0fe3b8271e4893d2da8830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8607549903212ed0ad6fc5ae0d55887b08c82a7cdf3ed6c9b7586c2e2187d173",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-06T11:30:38Z",
    "title_canon_sha256": "1a46c205893b059174fc87ed39c506565e955d8ca2c8918813f4052e9783ba70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02469",
    "kind": "arxiv",
    "version": 2
  }
}