Pith Number

pith:W3NZKLFH

pith:2015:W3NZKLFHPMGSFR2WHV53NIXXHZ

not attested not anchored not stored refs pending

Two-Dimensional Steady Supersonic Exothermically Reacting Euler Flow past Lipschitz Bending Walls

Gui-Qiang Chen, Jie Kuang, Yongqian Zhang

arxiv:1512.06815 v2 · 2015-12-21 · math.AP · 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{W3NZKLFHPMGSFR2WHV53NIXXHZ}

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	2026-05-18T00:59:26.171422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6db952ca77b0d22c7563d7bb6a2f73e535d0bfd46458db48f7fb3bd6385efe1

Aliases

arxiv: 1512.06815 · arxiv_version: 1512.06815v2 · doi: 10.48550/arxiv.1512.06815 · pith_short_12: W3NZKLFHPMGS · pith_short_16: W3NZKLFHPMGSFR2W · pith_short_8: W3NZKLFH

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/W3NZKLFHPMGSFR2WHV53NIXXHZ \
  | 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: b6db952ca77b0d22c7563d7bb6a2f73e535d0bfd46458db48f7fb3bd6385efe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f8d292424b64ec00bd84931128988b897c46503d85bdf5201e288a314fae049",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-21T20:37:19Z",
    "title_canon_sha256": "e4d876a9880308e86afd43c97803162092c69337565bff20d86f6a81fb11e0e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06815",
    "kind": "arxiv",
    "version": 2
  }
}