Pith Number

pith:TCEGGT3K

pith:2012:TCEGGT3KPNK4ICMID7ZP635QWL

not attested not anchored not stored refs pending

Analytic solutions and Singularity formation for the Peakon b--Family equations

Francesco Gargano, Giuseppe Maria Coclite, Vincenzo Sciacca

arxiv:1202.4983 v2 · 2012-02-22 · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCEGGT3KPNK4ICMID7ZP635QWL}

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	2026-05-18T03:40:25.690036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9888634f6a7b55c409881ff2ff6fb0b2d5f2e3bd48d2e32c702e841fca2a55e7

Aliases

arxiv: 1202.4983 · arxiv_version: 1202.4983v2 · doi: 10.48550/arxiv.1202.4983 · pith_short_12: TCEGGT3KPNK4 · pith_short_16: TCEGGT3KPNK4ICMI · pith_short_8: TCEGGT3K

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/TCEGGT3KPNK4ICMID7ZP635QWL \
  | 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: 9888634f6a7b55c409881ff2ff6fb0b2d5f2e3bd48d2e32c702e841fca2a55e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffeefbf895ffd31d02ac9d0005a2382f92e7994f63df200e3a3ad1ab9f1ea5a5",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-22T17:31:54Z",
    "title_canon_sha256": "b63627b7fac1e780ec8290a0035c11670e2da9b000558d2723d47910787921c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4983",
    "kind": "arxiv",
    "version": 2
  }
}