Pith Number

pith:VMGESKAL

pith:2012:VMGESKALHFRXT4ZZQQ375C4NTD

not attested not anchored not stored refs pending

Synchronization and random long time dynamics for mean-field plane rotators

Christophe Poquet, Giambattista Giacomin, Lorenzo Bertini

arxiv:1209.4537 v1 · 2012-09-20 · math.PR · math-ph · math.MP · nlin.AO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMGESKALHFRXT4ZZQQ375C4NTD}

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	2026-05-18T03:45:11.370746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0c49280b396379f3398437fe8b8d98f6a73d7916be2641f5c83fbb93d7488e

Aliases

arxiv: 1209.4537 · arxiv_version: 1209.4537v1 · doi: 10.48550/arxiv.1209.4537 · pith_short_12: VMGESKALHFRX · pith_short_16: VMGESKALHFRXT4ZZ · pith_short_8: VMGESKAL

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/VMGESKALHFRXT4ZZQQ375C4NTD \
  | 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: ab0c49280b396379f3398437fe8b8d98f6a73d7916be2641f5c83fbb93d7488e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0094349a872e80acd88dddc0c6dc48b6065994f89ad61c3e7b0d4440929386d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-20T14:10:10Z",
    "title_canon_sha256": "95a426b8f755e7e4fa36da9ac19f69da9eba2cf2e29cebed067ce6566e76b97a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4537",
    "kind": "arxiv",
    "version": 1
  }
}