Pith Number

pith:K674QA5C

pith:2010:K674QA5COSQHKYPX2I3L7QBW4E

not attested not anchored not stored refs pending

Geometric aspects of the periodic $\mu$-Degasperis-Procesi equation

Boris Kolev, Joachim Escher, Martin Kohlmann

arxiv:1004.0978 v2 · 2010-04-06 · 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{K674QA5COSQHKYPX2I3L7QBW4E}

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	2026-05-18T04:23:03.121807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57bfc803a274a07561f7d236bfc036e12cd27037054a19c7f76d19577bca2b8b

Aliases

arxiv: 1004.0978 · arxiv_version: 1004.0978v2 · doi: 10.48550/arxiv.1004.0978 · pith_short_12: K674QA5COSQH · pith_short_16: K674QA5COSQHKYPX · pith_short_8: K674QA5C

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/K674QA5COSQHKYPX2I3L7QBW4E \
  | 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: 57bfc803a274a07561f7d236bfc036e12cd27037054a19c7f76d19577bca2b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43570425f40a49fdc16fd2f798ddc35b89e0642a50013559f991b817a00e59a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-06T21:39:56Z",
    "title_canon_sha256": "c3a54a07f987867a8e1cf603391aff27fb2e70d9de8b8f39dad2871c1e51f942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0978",
    "kind": "arxiv",
    "version": 2
  }
}