Pith Number

pith:JMJ4N25B

pith:2015:JMJ4N25BHY62GG3JJYDHNKQXKH

not attested not anchored not stored refs pending

On the ground states of the $M_\ell$ models

Christian Hagendorf, Liza Huijse

arxiv:1509.08879 v1 · 2015-09-29 · math-ph · cond-mat.stat-mech · 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{JMJ4N25BHY62GG3JJYDHNKQXKH}

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	2026-05-18T01:31:46.926158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b13c6eba13e3da31b694e0676aa1751c6f14158ea15cbf342ac322245183415

Aliases

arxiv: 1509.08879 · arxiv_version: 1509.08879v1 · doi: 10.48550/arxiv.1509.08879 · pith_short_12: JMJ4N25BHY62 · pith_short_16: JMJ4N25BHY62GG3J · pith_short_8: JMJ4N25B

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/JMJ4N25BHY62GG3JJYDHNKQXKH \
  | 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: 4b13c6eba13e3da31b694e0676aa1751c6f14158ea15cbf342ac322245183415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb0e2ffe5ca547d3b5396b4d11d5984f8955836ee7972fd601a251fc1e59600",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-29T18:33:24Z",
    "title_canon_sha256": "741a2ea8c8565df1b19c8898a253b2e09cecdbab19839f5f342da63b229ac35b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08879",
    "kind": "arxiv",
    "version": 1
  }
}