Pith Number

pith:GRHE3NMW

pith:2019:GRHE3NMWOX2J6DPTJIJVMAARC3

not attested not anchored not stored refs pending

On a global supersonic-sonic patch characterized by 2-D steady full Euler equations

Jiequan Li, Yanbo Hu

arxiv:1904.05479 v1 · 2019-04-10 · 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{GRHE3NMWOX2J6DPTJIJVMAARC3}

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	2026-05-17T23:48:49.385422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344e4db59675f49f0df34a1356001116eb62174a6547900573af0175c7f68d7f

Aliases

arxiv: 1904.05479 · arxiv_version: 1904.05479v1 · doi: 10.48550/arxiv.1904.05479 · pith_short_12: GRHE3NMWOX2J · pith_short_16: GRHE3NMWOX2J6DPT · pith_short_8: GRHE3NMW

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/GRHE3NMWOX2J6DPTJIJVMAARC3 \
  | 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: 344e4db59675f49f0df34a1356001116eb62174a6547900573af0175c7f68d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b984ab492cad1c1bd1656da96a59beb155fea699f91ac70f58b558254564ce1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-10T23:33:06Z",
    "title_canon_sha256": "e6f99c0ba4d75d7ad4ed358b64c29a29513de2eb3a684bff6f0ce9591678f8ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05479",
    "kind": "arxiv",
    "version": 1
  }
}