Pith Number

pith:YMQXR7ML

pith:2010:YMQXR7ML3UI62OIEOPJMTDFOSS

not attested not anchored not stored refs pending

The periodic $\mu$-$b$-equation and Euler equations on the circle

Martin Kohlmann

arxiv:1010.1832 v2 · 2010-10-09 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMQXR7ML3UI62OIEOPJMTDFOSS}

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	2026-05-18T04:23:02.822181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c32178fd8bdd11ed390473d2c98cae949b13a2be461169d7cbeda7d98a1a0c43

Aliases

arxiv: 1010.1832 · arxiv_version: 1010.1832v2 · doi: 10.48550/arxiv.1010.1832 · pith_short_12: YMQXR7ML3UI6 · pith_short_16: YMQXR7ML3UI62OIE · pith_short_8: YMQXR7ML

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/YMQXR7ML3UI62OIEOPJMTDFOSS \
  | 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: c32178fd8bdd11ed390473d2c98cae949b13a2be461169d7cbeda7d98a1a0c43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1474a4212703137797921904f3ecca5839137e15fac45097958939e239da294",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-09T10:39:15Z",
    "title_canon_sha256": "a32c989a32de4fd72a999a1a36364d7a09f9a4983cc6e16e585f8c7d8dfe7779"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1832",
    "kind": "arxiv",
    "version": 2
  }
}