Pith Number

pith:5L2GBDMI

pith:2010:5L2GBDMIV7XC5GJ2RG4BH7WI6B

not attested not anchored not stored refs pending

Continuous limit of the moments system for the globally coupled phase oscillators

Hayato Chiba

arxiv:1003.5024 v2 · 2010-03-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5L2GBDMIV7XC5GJ2RG4BH7WI6B}

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	2026-05-18T03:34:46.609115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf4608d88afee2e993a89b813fec8f05e41b0b38a736aac6e55e3e14df4a5b7

Aliases

arxiv: 1003.5024 · arxiv_version: 1003.5024v2 · doi: 10.48550/arxiv.1003.5024 · pith_short_12: 5L2GBDMIV7XC · pith_short_16: 5L2GBDMIV7XC5GJ2 · pith_short_8: 5L2GBDMI

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/5L2GBDMIV7XC5GJ2RG4BH7WI6B \
  | 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: eaf4608d88afee2e993a89b813fec8f05e41b0b38a736aac6e55e3e14df4a5b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2523fb237c85ef084768ca9d58650752cbaacff8edb0df28effa29d42403750b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-03-26T00:56:49Z",
    "title_canon_sha256": "61a31dd81e1124d03174a9e208ead648453d01d683fd064e98d800ed7c2e73b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5024",
    "kind": "arxiv",
    "version": 2
  }
}