Pith Number

pith:QTRFV7SX

pith:2022:QTRFV7SX72DUU3LHYC7VBNO4NE

not attested not anchored not stored refs pending

Global existence and singularity formation for the generalized Constantin-Lax-Majda equation with dissipation: The real line vs. periodic domains

David M. Ambrose, Denis A. Silantyev, Michael Siegel, Pavel M. Lushnikov

arxiv:2207.07548 v1 · 2022-07-15 · math.AP · nlin.PS · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTRFV7SX72DUU3LHYC7VBNO4NE}

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	2026-07-05T04:40:33.661928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84e25afe57fe874a6d67c0bf50b5dc6905c9916083a53fc1f5a19713ad3f4cfb

Aliases

arxiv: 2207.07548 · arxiv_version: 2207.07548v1 · doi: 10.48550/arxiv.2207.07548 · pith_short_12: QTRFV7SX72DU · pith_short_16: QTRFV7SX72DUU3LH · pith_short_8: QTRFV7SX

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/QTRFV7SX72DUU3LHYC7VBNO4NE \
  | 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: 84e25afe57fe874a6d67c0bf50b5dc6905c9916083a53fc1f5a19713ad3f4cfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47bdb173c20b8f7f5f29ccc1619312577ddeba518bf0d560f9b85efcf0ae6378",
    "cross_cats_sorted": [
      "nlin.PS",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-07-15T15:42:46Z",
    "title_canon_sha256": "5b381a8acf73b895adb42337525b742953c0734589cc6157fb47894dca2a534d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07548",
    "kind": "arxiv",
    "version": 1
  }
}