Pith Number

pith:ZEPHH5WU

pith:2020:ZEPHH5WUDKFJK5GC5NDMEQKYCK

not attested not anchored not stored refs pending

Remarks on stationary and uniformly-rotating vortex sheets: Rigidity results

Jaemin Park, Javier G\'omez-Serrano, Jia Shi, Yao Yao

arxiv:2012.04548 v1 · 2020-12-08 · 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{ZEPHH5WUDKFJK5GC5NDMEQKYCK}

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	2026-07-05T03:00:47.231386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91e73f6d41a8a9574c2eb46c2415812ae94f0e42720aa16f99fed307c7184cd

Aliases

arxiv: 2012.04548 · arxiv_version: 2012.04548v1 · doi: 10.48550/arxiv.2012.04548 · pith_short_12: ZEPHH5WUDKFJ · pith_short_16: ZEPHH5WUDKFJK5GC · pith_short_8: ZEPHH5WU

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/ZEPHH5WUDKFJK5GC5NDMEQKYCK \
  | 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: c91e73f6d41a8a9574c2eb46c2415812ae94f0e42720aa16f99fed307c7184cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a464aa18d5dab73499322f024003d9416f77d11e19a95b45a40491d9ca33ff2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-08T16:41:46Z",
    "title_canon_sha256": "26f9594fe3a11c3d0fbe101da6c8b04698f9de24624aa2f761f1d959b112d41d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.04548",
    "kind": "arxiv",
    "version": 1
  }
}