Pith Number

pith:UUUJAWYN

pith:2021:UUUJAWYNGPRCDOSXONMZBSSIMJ

not attested not anchored not stored refs pending

The Ising antiferromagnet in the replica symmetric phase

Christian Fabian, Philipp Loick

arxiv:2103.09775 v5 · 2021-03-17 · math.CO · cs.DM · 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{UUUJAWYNGPRCDOSXONMZBSSIMJ}

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	2026-07-05T02:36:49.359651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a528905b0d33e221ba57735990ca4862608afc3cae980926b89d1dd7408df2e6

Aliases

arxiv: 2103.09775 · arxiv_version: 2103.09775v5 · doi: 10.48550/arxiv.2103.09775 · pith_short_12: UUUJAWYNGPRC · pith_short_16: UUUJAWYNGPRCDOSX · pith_short_8: UUUJAWYN

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/UUUJAWYNGPRCDOSXONMZBSSIMJ \
  | 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: a528905b0d33e221ba57735990ca4862608afc3cae980926b89d1dd7408df2e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b7b7e26c93cabedd959a37e3d9a9549d0a93b54c125c143db739023c439b8a",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-03-17T17:02:32Z",
    "title_canon_sha256": "7fcc2be65077a12aa0c7f6d7ee6e7a4a380eaf7221f4181d0813eed98d969d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.09775",
    "kind": "arxiv",
    "version": 5
  }
}