Pith Number

pith:YXHBIGJA

pith:2017:YXHBIGJAUUHAZ6Z7SZQISLLWZH

not attested not anchored not stored refs pending

Anticipating stochastic equation of two-dimensional second grade fluids

Shijie Shang

arxiv:1706.06367 v1 · 2017-06-20 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXHBIGJAUUHAZ6Z7SZQISLLWZH}

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	2026-05-18T00:42:03.430975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5ce141920a50e0cfb3f9660892d76c9d26551b4da452cf92797b19756fed977

Aliases

arxiv: 1706.06367 · arxiv_version: 1706.06367v1 · doi: 10.48550/arxiv.1706.06367 · pith_short_12: YXHBIGJAUUHA · pith_short_16: YXHBIGJAUUHAZ6Z7 · pith_short_8: YXHBIGJA

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/YXHBIGJAUUHAZ6Z7SZQISLLWZH \
  | 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: c5ce141920a50e0cfb3f9660892d76c9d26551b4da452cf92797b19756fed977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f08d8468bbc92926d07042cd85b80e8d4ac2dc9d29ae69082c06d1b8ff6681",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-20T11:19:59Z",
    "title_canon_sha256": "83a2a333b1007527f730dd347dfb02fa9b7887759b40339a98f4fbaf05b5a38c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06367",
    "kind": "arxiv",
    "version": 1
  }
}