Pith Number

pith:WFTIRHGQ

pith:2012:WFTIRHGQ3ZCDZBA22DJ4ZFXP5O

not attested not anchored not stored refs pending

Well-posedness of boundary layer equations for time-dependent flow of non-Newtonian fluids

Michael Renardy, Xiaojun Wang

arxiv:1202.0685 v1 · 2012-02-03 · 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{WFTIRHGQ3ZCDZBA22DJ4ZFXP5O}

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	2026-05-18T01:58:35.812792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b166889cd0de443c841ad0d3cc96efeb98da6384055ca0ceca326a79a06faa5d

Aliases

arxiv: 1202.0685 · arxiv_version: 1202.0685v1 · doi: 10.48550/arxiv.1202.0685 · pith_short_12: WFTIRHGQ3ZCD · pith_short_16: WFTIRHGQ3ZCDZBA2 · pith_short_8: WFTIRHGQ

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/WFTIRHGQ3ZCDZBA22DJ4ZFXP5O \
  | 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: b166889cd0de443c841ad0d3cc96efeb98da6384055ca0ceca326a79a06faa5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e3280ffa15c01f89fbf0a8121756c3e29c209a4cff679fcb5f21b36ae9a3d02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-03T12:52:09Z",
    "title_canon_sha256": "b2b358f23e465b761206114bfe32507a032ff2956176746d94e676f72ddc631b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0685",
    "kind": "arxiv",
    "version": 1
  }
}