Pith Number

pith:362J6RSM

pith:2022:362J6RSMUYX4MRENMV3PWK4EOI

not attested not anchored not stored refs pending

Two-Dimensional Riemann Problems: Transonic Shock Waves and Free Boundary Problems

G. Chen, Gui-Qiang

arxiv:2204.00692 v2 · 2022-04-01 · math.AP · math-ph · math.MP · nlin.PS · physics.comp-ph · 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{362J6RSMUYX4MRENMV3PWK4EOI}

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	2026-07-05T06:14:03.854516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfb49f464ca62fc6448d6576fb2b84722c9edfd18e030aa327197e587dbbd18d

Aliases

arxiv: 2204.00692 · arxiv_version: 2204.00692v2 · doi: 10.48550/arxiv.2204.00692 · pith_short_12: 362J6RSMUYX4 · pith_short_16: 362J6RSMUYX4MREN · pith_short_8: 362J6RSM

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/362J6RSMUYX4MRENMV3PWK4EOI \
  | 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: dfb49f464ca62fc6448d6576fb2b84722c9edfd18e030aa327197e587dbbd18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5add3a749c8a23bad37742b8c049f3464a638cf71bdd69652436c8b441f6f87c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS",
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-04-01T20:44:03Z",
    "title_canon_sha256": "2a0770ad98d205c27cf4ac79e44279c1fa0c5afc98571c8fec4a31ff4242b1e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.00692",
    "kind": "arxiv",
    "version": 2
  }
}