Pith Number

pith:T4RCHLKF

pith:2016:T4RCHLKFW5KTL5FD3PN6JZAQK5

not attested not anchored not stored refs pending

Global Transonic Solutions to Combined Fanno Rayleigh Flows Through Variable Nozzles

Bo-Chih Huang, John M. Hong, Reyna Quita, Shih-Wei Chou

arxiv:1611.10083 v1 · 2016-11-30 · 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{T4RCHLKFW5KTL5FD3PN6JZAQK5}

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	2026-05-18T00:56:11.223635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f2223ad45b75535f4a3dbdbe4e4105753c50c8c06ac72cb5bff928ab85ab11c

Aliases

arxiv: 1611.10083 · arxiv_version: 1611.10083v1 · doi: 10.48550/arxiv.1611.10083 · pith_short_12: T4RCHLKFW5KT · pith_short_16: T4RCHLKFW5KTL5FD · pith_short_8: T4RCHLKF

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/T4RCHLKFW5KTL5FD3PN6JZAQK5 \
  | 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: 9f2223ad45b75535f4a3dbdbe4e4105753c50c8c06ac72cb5bff928ab85ab11c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7b37f3807e34d689d9e0164cb45d822d664bb71ac86fabfb18d92a9225276d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-30T10:33:13Z",
    "title_canon_sha256": "45ef0deb57f01b793aa39a94cfd20ee11adc6a44d5b01d05abe362a5797d65a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10083",
    "kind": "arxiv",
    "version": 1
  }
}