Pith Number

pith:WMP7DI7P

pith:2021:WMP7DI7PR2TMVWCJUPJJVIEBIO

not attested not anchored not stored refs pending

Polarization singularities and M\"{o}bius strips in sound and water-surface waves

D. Sugic, E. Brasselet, F. Nori, K. Y. Bliokh, M. A. Alonso, M. Perrin

arxiv:2102.01108 v2 · 2021-02-01 · physics.class-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMP7DI7PR2TMVWCJUPJJVIEBIO}

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	2026-07-05T03:07:46.498239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b31ff1a3ef8ea6cad849a3d29aa08143aba0a9c16d10e290afaeffc3af427b51

Aliases

arxiv: 2102.01108 · arxiv_version: 2102.01108v2 · doi: 10.48550/arxiv.2102.01108 · pith_short_12: WMP7DI7PR2TM · pith_short_16: WMP7DI7PR2TMVWCJ · pith_short_8: WMP7DI7P

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/WMP7DI7PR2TMVWCJUPJJVIEBIO \
  | 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: b31ff1a3ef8ea6cad849a3d29aa08143aba0a9c16d10e290afaeffc3af427b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb116802014bdf14c43e3fd5b8366b6b1f7e6b7d2302c9bb73fc3a2c05653378",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2021-02-01T19:08:05Z",
    "title_canon_sha256": "41985860a9e82ca981f17b63e012d198cf1df38ac73080ff5d691993f0909430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.01108",
    "kind": "arxiv",
    "version": 2
  }
}