Pith Number

pith:EU5ATRXK

pith:2011:EU5ATRXKDX66TIN6UTNITLIOZP

not attested not anchored not stored refs pending

Refraction of dispersive shock waves

A.M. Leszczyszyn, G.A. El, V.V. Khodorovskii

arxiv:1105.1920 v2 · 2011-05-10 · nlin.PS · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EU5ATRXKDX66TIN6UTNITLIOZP}

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	2026-05-18T02:02:02.031721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

253a09c6ea1dfde9a1bea4da89ad0ecbc27c0f97ab3a87904b0bbfb781bf4474

Aliases

arxiv: 1105.1920 · arxiv_version: 1105.1920v2 · doi: 10.48550/arxiv.1105.1920 · pith_short_12: EU5ATRXKDX66 · pith_short_16: EU5ATRXKDX66TIN6 · pith_short_8: EU5ATRXK

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/EU5ATRXKDX66TIN6UTNITLIOZP \
  | 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: 253a09c6ea1dfde9a1bea4da89ad0ecbc27c0f97ab3a87904b0bbfb781bf4474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5b40dfb792fac4fdb2c4418c6bd53a287f71006c5e94f6ed120adf6dbe61b9d",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2011-05-10T11:38:48Z",
    "title_canon_sha256": "392e15fa634773063e22f8f72db35c171ac265854515147242e5246cd8ba62df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1920",
    "kind": "arxiv",
    "version": 2
  }
}