Pith Number

pith:YIWAIKDK

pith:2011:YIWAIKDKESGCANLEL3ODZBFRD5

not attested not anchored not stored refs pending

Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations

Geng Chen

arxiv:1105.0231 v1 · 2011-05-02 · 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{YIWAIKDKESGCANLEL3ODZBFRD5}

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	2026-05-18T04:23:12.247669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22c04286a248c2035645edc3c84b11f680228be04621b8cd0a491672a0b9b2d

Aliases

arxiv: 1105.0231 · arxiv_version: 1105.0231v1 · doi: 10.48550/arxiv.1105.0231 · pith_short_12: YIWAIKDKESGC · pith_short_16: YIWAIKDKESGCANLE · pith_short_8: YIWAIKDK

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/YIWAIKDKESGCANLEL3ODZBFRD5 \
  | 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: c22c04286a248c2035645edc3c84b11f680228be04621b8cd0a491672a0b9b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7066f987e878dff09048920063e0a79cedcc4c37f2b851aec8241abee266e6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-02T01:57:38Z",
    "title_canon_sha256": "d7de06211368073536cfa5381805dc1ff479cc15a63b97a9fa1448c2cf2cbc21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0231",
    "kind": "arxiv",
    "version": 1
  }
}