Pith Number

pith:OHYWFKF6

pith:2011:OHYWFKF6RIB3DVXKWQCMYKIQFA

not attested not anchored not stored refs pending

Global Stability of Steady Transonic Euler Shocks in Quasi-One-Dimensional Nozzles

Chunjing Xie, Jeffrey Rauch, Zhouping Xin

arxiv:1107.5856 v1 · 2011-07-29 · 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{OHYWFKF6RIB3DVXKWQCMYKIQFA}

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	2026-05-18T04:16:40.403940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71f162a8be8a03b1d6eab404cc291028015a646193fc79357c16b9501427435b

Aliases

arxiv: 1107.5856 · arxiv_version: 1107.5856v1 · doi: 10.48550/arxiv.1107.5856 · pith_short_12: OHYWFKF6RIB3 · pith_short_16: OHYWFKF6RIB3DVXK · pith_short_8: OHYWFKF6

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/OHYWFKF6RIB3DVXKWQCMYKIQFA \
  | 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: 71f162a8be8a03b1d6eab404cc291028015a646193fc79357c16b9501427435b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ebadeaa9fa114671344bc8a0627a2cd1ab94ecdb9b6a4a3bc2fd7decf4e680",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-29T01:38:46Z",
    "title_canon_sha256": "4ac9dd8c753fb916abb7dc21833a28c69d1569df5e4ebea63716d09e119a0d43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5856",
    "kind": "arxiv",
    "version": 1
  }
}