Pith Number

pith:3R4PS6TI

pith:2016:3R4PS6TIV6LZTUXCQC5EFYKLSO

not attested not anchored not stored refs pending

Critical behavior of mean-field XY and related models

Kay Kirkpatrick, Tayyab Nawaz

arxiv:1611.02356 v1 · 2016-11-08 · 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{3R4PS6TIV6LZTUXCQC5EFYKLSO}

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	2026-05-18T00:59:52.310006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc78f97a68af9799d2e280ba42e14b938f797fbe21a6f2fa2dae9aad07b56cf7

Aliases

arxiv: 1611.02356 · arxiv_version: 1611.02356v1 · doi: 10.48550/arxiv.1611.02356 · pith_short_12: 3R4PS6TIV6LZ · pith_short_16: 3R4PS6TIV6LZTUXC · pith_short_8: 3R4PS6TI

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/3R4PS6TIV6LZTUXCQC5EFYKLSO \
  | 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: dc78f97a68af9799d2e280ba42e14b938f797fbe21a6f2fa2dae9aad07b56cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b9856d8c620763d54f734baa0b5764239ad25eafc1a68e1660ba91b51af790f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-08T01:36:41Z",
    "title_canon_sha256": "bf94c25a2922699af5c34fff7c89f7f7bb7afe24bafdaac41d14dc8c245488a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02356",
    "kind": "arxiv",
    "version": 1
  }
}