Pith Number

pith:PR6BPB3K

pith:2016:PR6BPB3K6D63WX4SS2YP57BTHO

not attested not anchored not stored refs pending

Critical properties of the eight-vertex model in a field

Ladislav \v{S}amaj, Roman Kr\v{c}m\'ar

arxiv:1610.08657 v1 · 2016-10-27 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PR6BPB3K6D63WX4SS2YP57BTHO}

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	2026-05-18T01:01:07.585516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c7c17876af0fdbb5f9296b0fefc333bb4dd4ee86b5c3b90914b5bbca1d64222

Aliases

arxiv: 1610.08657 · arxiv_version: 1610.08657v1 · doi: 10.48550/arxiv.1610.08657 · pith_short_12: PR6BPB3K6D63 · pith_short_16: PR6BPB3K6D63WX4S · pith_short_8: PR6BPB3K

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/PR6BPB3K6D63WX4SS2YP57BTHO \
  | 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: 7c7c17876af0fdbb5f9296b0fefc333bb4dd4ee86b5c3b90914b5bbca1d64222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f437ce0dafbce437fc122a15d1d5bf89c12dbb965037014c8f31b666e9a51f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-10-27T08:25:17Z",
    "title_canon_sha256": "91350a4bfcc95d37dbf6632d39310e5d45418255389685c5f74c0d8c4be2129a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08657",
    "kind": "arxiv",
    "version": 1
  }
}