Pith Number

pith:GK2MVY7P

pith:2012:GK2MVY7PAFEET4Z5XVP6BHFSNM

not attested not anchored not stored refs pending

Well-Posedness of Transonic Characteristic Discontinuities in Two-Dimensional Steady Compressible Euler Flows

Gui-Qiang Chen, Hairong Yuan, Vaibhav Kukreja

arxiv:1209.3806 v1 · 2012-09-17 · 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{GK2MVY7PAFEET4Z5XVP6BHFSNM}

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	2026-05-18T01:54:27.107023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b4cae3ef014849f33dbd5fe09cb26b1d663a1216975f9e1c5ef1e96f95f536

Aliases

arxiv: 1209.3806 · arxiv_version: 1209.3806v1 · doi: 10.48550/arxiv.1209.3806 · pith_short_12: GK2MVY7PAFEE · pith_short_16: GK2MVY7PAFEET4Z5 · pith_short_8: GK2MVY7P

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/GK2MVY7PAFEET4Z5XVP6BHFSNM \
  | 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: 32b4cae3ef014849f33dbd5fe09cb26b1d663a1216975f9e1c5ef1e96f95f536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1176b1fa81a7f85c4459aad06664192433e46cd226555d41ecaeb32cc07ecf6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-17T22:25:11Z",
    "title_canon_sha256": "478daf786d3655d966699206c816fac1fb441cf76c6df123f0e65dc7b2d28ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3806",
    "kind": "arxiv",
    "version": 1
  }
}