Pith Number

pith:7PLCSSNJ

pith:2011:7PLCSSNJ7LUCEKPFNW6S3XGRBG

not attested not anchored not stored refs pending

On Multi-Dimensional Sonic-Subsonic Flow

Feimin Huang, Tianyi Wang, Yong Wang

arxiv:1103.0078 v2 · 2011-03-01 · 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{7PLCSSNJ7LUCEKPFNW6S3XGRBG}

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	2026-05-18T02:22:30.996823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbd62949a9fae82229e56dbd2ddcd109a327fc972c2c28edebca7b736439d5ea

Aliases

arxiv: 1103.0078 · arxiv_version: 1103.0078v2 · doi: 10.48550/arxiv.1103.0078 · pith_short_12: 7PLCSSNJ7LUC · pith_short_16: 7PLCSSNJ7LUCEKPF · pith_short_8: 7PLCSSNJ

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/7PLCSSNJ7LUCEKPFNW6S3XGRBG \
  | 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: fbd62949a9fae82229e56dbd2ddcd109a327fc972c2c28edebca7b736439d5ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd0311207c85dfb5ba40d45a8268256cea78e0645e7be3a069bcf2d17371e26f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-01T04:41:12Z",
    "title_canon_sha256": "c22ae4fc3a8dca46951575db2ecf86532111838380602ab7a008f7121f52a488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0078",
    "kind": "arxiv",
    "version": 2
  }
}