Pith Number

pith:NFELN6CV

pith:2014:NFELN6CVQ7M2ND4NE2U7QXNERX

not attested not anchored not stored refs pending

The regularity of sonic curves for the two-dimensional Riemann problems of the nonlinear wave system of Chaplygin gas

Kyungwoo Song, Qin Wang

arxiv:1412.1212 v1 · 2014-12-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFELN6CVQ7M2ND4NE2U7QXNERX}

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	2026-05-18T02:32:13.157521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6948b6f85587d9a68f8d26a9f85da48de01baf0ba1cc0fe4717b74dc9ec9bf41

Aliases

arxiv: 1412.1212 · arxiv_version: 1412.1212v1 · doi: 10.48550/arxiv.1412.1212 · pith_short_12: NFELN6CVQ7M2 · pith_short_16: NFELN6CVQ7M2ND4N · pith_short_8: NFELN6CV

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/NFELN6CVQ7M2ND4NE2U7QXNERX \
  | 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: 6948b6f85587d9a68f8d26a9f85da48de01baf0ba1cc0fe4717b74dc9ec9bf41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7803367e6962f6fa0425d16831172a3372df4f518c30f2623cb937d626fa7fb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-03T07:02:48Z",
    "title_canon_sha256": "47fe3a228fe0181eef024f5cda52cfc1bd94ba18cb2fa33c1f38cb8e044ecd85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1212",
    "kind": "arxiv",
    "version": 1
  }
}