Pith Number

pith:XMNH6FLQ

pith:2022:XMNH6FLQKIXEXCFN7JCWS5MYA5

not attested not anchored not stored refs pending

Long range order for three-dimensional random field Ising model throughout the entire low temperature regime

Aoteng Xia, Jian Ding, Yu Liu

arxiv:2209.13998 v1 · 2022-09-28 · 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{XMNH6FLQKIXEXCFN7JCWS5MYA5}

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	2026-07-05T05:01:46.639566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb1a7f1570522e4b88adfa456975980767307ac8cc2323bb19e938f10c06d9fd

Aliases

arxiv: 2209.13998 · arxiv_version: 2209.13998v1 · doi: 10.48550/arxiv.2209.13998 · pith_short_12: XMNH6FLQKIXE · pith_short_16: XMNH6FLQKIXEXCFN · pith_short_8: XMNH6FLQ

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/XMNH6FLQKIXEXCFN7JCWS5MYA5 \
  | 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: bb1a7f1570522e4b88adfa456975980767307ac8cc2323bb19e938f10c06d9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dca714ab81e50a79c54b90714d3a2259d5204b3b0379682180fb237c18d5b9a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-09-28T11:14:48Z",
    "title_canon_sha256": "81229cba04cd6e02347c4d4b6194119d5f3ba447698ed2f2002276914d746a73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.13998",
    "kind": "arxiv",
    "version": 1
  }
}