Pith Number

pith:OPG4Z7T6

pith:2016:OPG4Z7T64NI22PJFZTHDBVTOMV

not attested not anchored not stored refs pending

Global regularities of two-dimensional density patch for inhomogeneous incompressible viscous flow with general density

Ping Zhang, Xiao Liao

arxiv:1604.07922 v1 · 2016-04-27 · 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{OPG4Z7T64NI22PJFZTHDBVTOMV}

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	2026-05-18T01:16:08.614592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73cdccfe7ee351ad3d25ccce30d66e655dc62cd32c934a7dbe85515d63d57866

Aliases

arxiv: 1604.07922 · arxiv_version: 1604.07922v1 · doi: 10.48550/arxiv.1604.07922 · pith_short_12: OPG4Z7T64NI2 · pith_short_16: OPG4Z7T64NI22PJF · pith_short_8: OPG4Z7T6

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/OPG4Z7T64NI22PJFZTHDBVTOMV \
  | 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: 73cdccfe7ee351ad3d25ccce30d66e655dc62cd32c934a7dbe85515d63d57866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48df4926a65eb4d91c1f950ebe1482242e41d4606b757a9739db93fe3e5856af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-27T03:48:37Z",
    "title_canon_sha256": "bfb0af7b1f3cc02b01c2c9c1cdbf2babb7f0586f1ad0003a933a1d19860edbdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07922",
    "kind": "arxiv",
    "version": 1
  }
}