pith. sign in
Pith Number

pith:CYSIUTMW

pith:2016:CYSIUTMWU2NCINFX7UICDDGQU2
not attested not anchored not stored refs pending

From the Newton equation to the wave equation : the case of shock waves

Marc Josien, Xavier Blanc

arxiv:1605.00974 v1 · 2016-05-03 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CYSIUTMWU2NCINFX7UICDDGQU2}

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 2026-05-18T01:15:47.553278Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

16248a4d96a69a2434b7fd10218cd0a6916cd91feddb21df496a1f1f9fe02e00

Aliases

arxiv: 1605.00974 · arxiv_version: 1605.00974v1 · doi: 10.48550/arxiv.1605.00974 · pith_short_12: CYSIUTMWU2NC · pith_short_16: CYSIUTMWU2NCINFX · pith_short_8: CYSIUTMW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CYSIUTMWU2NCINFX7UICDDGQU2 \
  | 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: 16248a4d96a69a2434b7fd10218cd0a6916cd91feddb21df496a1f1f9fe02e00
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eb27f7ee7a4e425d21e3863f78c8ba943c45d7f91c111d7929ffe92397f80990",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-03T16:39:03Z",
    "title_canon_sha256": "ed2eb4c34f73dadd9a3f9e708311836e4853d0819d0747e25e247c38be87e27e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00974",
    "kind": "arxiv",
    "version": 1
  }
}