Pith Number

pith:YOJZJJH6

pith:2013:YOJZJJH63QEEKEB4CVBKDCVIGG

not attested not anchored not stored refs pending

Shock creation and Painlev\'{e} property of colliding peakons in the Degasperis-Procesi Equation

Jacek Szmigielski, Lingjun Zhou

arxiv:1302.1377 v1 · 2013-02-06 · nlin.SI · math-ph · 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{YOJZJJH63QEEKEB4CVBKDCVIGG}

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	2026-05-18T03:34:24.436067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c39394a4fedc0845103c1542a18aa831bfcde272a52686ebb0e7c9593df7eedb

Aliases

arxiv: 1302.1377 · arxiv_version: 1302.1377v1 · doi: 10.48550/arxiv.1302.1377 · pith_short_12: YOJZJJH63QEE · pith_short_16: YOJZJJH63QEEKEB4 · pith_short_8: YOJZJJH6

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/YOJZJJH63QEEKEB4CVBKDCVIGG \
  | 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: c39394a4fedc0845103c1542a18aa831bfcde272a52686ebb0e7c9593df7eedb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a84e587147d6e340bbe8cce1fde19c8294a650f18d03fd427889db1f01ff505",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-02-06T14:13:39Z",
    "title_canon_sha256": "abdbc0e2113d5dcb5b970d03e0c9323c3e0b8e4633acb21fac3c32e722006d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1377",
    "kind": "arxiv",
    "version": 1
  }
}