Pith Number

pith:MS332S2R

pith:2014:MS332S2R2GVHLN2VLZNF3ESFPQ

not attested not anchored not stored refs pending

Global Smooth Supersonic Flows in Infinite Expanding Nozzles

Chunpeng Wang, Zhouping Xin

arxiv:1410.3937 v1 · 2014-10-15 · 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{MS332S2R2GVHLN2VLZNF3ESFPQ}

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	2026-05-18T02:40:03.594525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64b7bd4b51d1aa75b7555e5a5d92457c114a5f5fe65a07211a0b7a3f1e68af6d

Aliases

arxiv: 1410.3937 · arxiv_version: 1410.3937v1 · doi: 10.48550/arxiv.1410.3937 · pith_short_12: MS332S2R2GVH · pith_short_16: MS332S2R2GVHLN2V · pith_short_8: MS332S2R

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/MS332S2R2GVHLN2VLZNF3ESFPQ \
  | 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: 64b7bd4b51d1aa75b7555e5a5d92457c114a5f5fe65a07211a0b7a3f1e68af6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa8d86305a902cb43d06ff05a8abf054541480fb9781ca2d996ff3e6b7d29e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-15T06:25:06Z",
    "title_canon_sha256": "a0b1459bb6074ac49aea17a89a8b6fa0f7ec306724a646cd9cd4f804daf93067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3937",
    "kind": "arxiv",
    "version": 1
  }
}