Pith Number

pith:VTGP4MWN

pith:2011:VTGP4MWNABQFXQNFRJCPGDRWDV

not attested not anchored not stored refs pending

Existence of Steady Subsonic Euler Flows through Infinitely Long Periodic Nozzles

Chao Chen, Chunjing Xie

arxiv:1101.6010 v1 · 2011-01-31 · 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{VTGP4MWNABQFXQNFRJCPGDRWDV}

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	2026-05-18T04:30:24.462099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acccfe32cd00605bc1a58a44f30e361d4b56caf6b1aa70ef33fc46fc188a586f

Aliases

arxiv: 1101.6010 · arxiv_version: 1101.6010v1 · doi: 10.48550/arxiv.1101.6010 · pith_short_12: VTGP4MWNABQF · pith_short_16: VTGP4MWNABQFXQNF · pith_short_8: VTGP4MWN

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/VTGP4MWNABQFXQNFRJCPGDRWDV \
  | 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: acccfe32cd00605bc1a58a44f30e361d4b56caf6b1aa70ef33fc46fc188a586f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b689f01457951d3b0a9192c18b1cd0694fd7b4403f651f2f0999edb74ad6da8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-31T16:32:46Z",
    "title_canon_sha256": "a4b4423e80882c4248ef3629ccd4080b4d668f6a63608f71fa6ef4c61ad8b488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.6010",
    "kind": "arxiv",
    "version": 1
  }
}