Pith Number

pith:7GZ2Y4PG

pith:2013:7GZ2Y4PGHGMIGBWQ66UDIFKFA2

not attested not anchored not stored refs pending

Synchronization for discrete mean-field rotators

B. Jahnel, C. Kuelske

arxiv:1308.1260 v1 · 2013-08-06 · 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{7GZ2Y4PGHGMIGBWQ66UDIFKFA2}

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	2026-05-18T03:16:39.317436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b3ac71e639988306d0f7a8341545069d91b16a0795f581d4b58f69f527e1db

Aliases

arxiv: 1308.1260 · arxiv_version: 1308.1260v1 · doi: 10.48550/arxiv.1308.1260 · pith_short_12: 7GZ2Y4PGHGMI · pith_short_16: 7GZ2Y4PGHGMIGBWQ · pith_short_8: 7GZ2Y4PG

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/7GZ2Y4PGHGMIGBWQ66UDIFKFA2 \
  | 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: f9b3ac71e639988306d0f7a8341545069d91b16a0795f581d4b58f69f527e1db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba5fcf36ae340ccbdef4f1696d7b24015321f33dcecd39c5007da42d4a59717",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-06T13:00:13Z",
    "title_canon_sha256": "e2fbc709f8ff46308b1f359a14aaafd441a05e71a2c9d9eb326ef8edbf19c0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1260",
    "kind": "arxiv",
    "version": 1
  }
}