Pith Number

pith:ACDGCSMK

pith:2011:ACDGCSMKYSNT67FT74CE3LJY26

not attested not anchored not stored refs pending

Counterexamples to Ferromagnetic Ordering of Energy Levels

Lam Tran, Shannon Starr, Wolfgang Spitzer

arxiv:1107.1266 v2 · 2011-07-06 · math-ph · cond-mat.str-el · math.MP · 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{ACDGCSMKYSNT67FT74CE3LJY26}

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	2026-05-18T01:32:01.697244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

008661498ac49b3f7cb3ff044dad38d7ab0472765abf91e75024ea5ca41c20da

Aliases

arxiv: 1107.1266 · arxiv_version: 1107.1266v2 · doi: 10.48550/arxiv.1107.1266 · pith_short_12: ACDGCSMKYSNT · pith_short_16: ACDGCSMKYSNT67FT · pith_short_8: ACDGCSMK

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/ACDGCSMKYSNT67FT74CE3LJY26 \
  | 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: 008661498ac49b3f7cb3ff044dad38d7ab0472765abf91e75024ea5ca41c20da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e367352eedeb33b06d452a5fc1c91babb5243772fde81e01fb2343db0c34aee7",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-06T21:57:56Z",
    "title_canon_sha256": "ce05603c6b0c2186c04466c1e20a3150f4dda7dbcc3642347b546fc046008e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1266",
    "kind": "arxiv",
    "version": 2
  }
}