Pith Number

pith:4TZ7ECI4

pith:2010:4TZ7ECI4PRORC5IVI5LPLFZLKS

not attested not anchored not stored refs pending

Self-Similar Blowup Solutions to the 2-Component Degasperis-Procesi Shallow Water System

Manwai Yuen

arxiv:1008.2282 v1 · 2010-08-13 · 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{4TZ7ECI4PRORC5IVI5LPLFZLKS}

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	2026-05-18T04:24:53.023684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f3f2091c7c5d1175154756f5972b54be4ecfbbdacdbb5bf5903c3bf0f4b989

Aliases

arxiv: 1008.2282 · arxiv_version: 1008.2282v1 · doi: 10.48550/arxiv.1008.2282 · pith_short_12: 4TZ7ECI4PROR · pith_short_16: 4TZ7ECI4PRORC5IV · pith_short_8: 4TZ7ECI4

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/4TZ7ECI4PRORC5IVI5LPLFZLKS \
  | 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: e4f3f2091c7c5d1175154756f5972b54be4ecfbbdacdbb5bf5903c3bf0f4b989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bb217c999cf771cc20c26a0492089d7ae0eab8e7cb1ed1c1416280521ff1211",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-13T10:17:02Z",
    "title_canon_sha256": "8efa1fc497d82d032a2b62d2a4e378bce90153494164b93c0c34c02f79ff5118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2282",
    "kind": "arxiv",
    "version": 1
  }
}