Pith Number

pith:CYVS2KWO

pith:2012:CYVS2KWOEZPY334ITSXRY4P3DP

not attested not anchored not stored refs pending

Long-time asymptotics for two-dimensional exterior flows with small circulation at infinity

Thierry Gallay, Yasunori Maekawa

arxiv:1202.4969 v1 · 2012-02-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYVS2KWOEZPY334ITSXRY4P3DP}

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	2026-05-18T04:01:40.163848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162b2d2ace265f8def889caf1c71fb1bf949f75d799e2b6e45eabc6170c59607

Aliases

arxiv: 1202.4969 · arxiv_version: 1202.4969v1 · doi: 10.48550/arxiv.1202.4969 · pith_short_12: CYVS2KWOEZPY · pith_short_16: CYVS2KWOEZPY334I · pith_short_8: CYVS2KWO

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/CYVS2KWOEZPY334ITSXRY4P3DP \
  | 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: 162b2d2ace265f8def889caf1c71fb1bf949f75d799e2b6e45eabc6170c59607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bbfaf13529e9e43231a88e8525d6fc529909461a92d26b26114ae0e7c7d10af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-22T16:51:41Z",
    "title_canon_sha256": "1ab6c0211a4d7c6f100c0b6c13a279674edf5e0dfc944ea5e9af7bfd579990f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4969",
    "kind": "arxiv",
    "version": 1
  }
}