Pith Number

pith:MYXKGVHG

pith:2012:MYXKGVHGXSTLI3S2UPITNI4PCX

not attested not anchored not stored refs pending

Ground states for mean field models with a transverse component

Anna Levit, Dmitry Ioffe

arxiv:1210.2766 v1 · 2012-10-09 · math.PR · math-ph · 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{MYXKGVHGXSTLI3S2UPITNI4PCX}

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	2026-05-18T01:54:03.739892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

662ea354e6bca6b46e5aa3d136a38f15d5caa351544ced5628468c489ea3f642

Aliases

arxiv: 1210.2766 · arxiv_version: 1210.2766v1 · doi: 10.48550/arxiv.1210.2766 · pith_short_12: MYXKGVHGXSTL · pith_short_16: MYXKGVHGXSTLI3S2 · pith_short_8: MYXKGVHG

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/MYXKGVHGXSTLI3S2UPITNI4PCX \
  | 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: 662ea354e6bca6b46e5aa3d136a38f15d5caa351544ced5628468c489ea3f642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1233cf96277bc0b50c1c3dc436ef26dfd9b5638a8bfca1e623a0223ef9852f5d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-09T21:59:31Z",
    "title_canon_sha256": "b511b092a875ec5c9454aee3dd2e03775e2f4e29237add660fb2259dca439e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2766",
    "kind": "arxiv",
    "version": 1
  }
}