Pith Number

pith:MRB34XEA

pith:2016:MRB34XEA5Q26C76FD4SGJSUOUD

not attested not anchored not stored refs pending

A regularity criterion for solutions of the three-dimensional Cahn-Hilliard-Navier-Stokes equations and associated computations

Anupam Gupta, John D. Gibbon, Nairita Pal, Rahul Pandit

arxiv:1608.05361 v2 · 2016-08-18 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRB34XEA5Q26C76FD4SGJSUOUD}

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	2026-05-18T00:54:19.806196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6443be5c80ec35e17fc51f2464ca8ea0fbbb5ffcaf9e435224f916bd7aa7cfed

Aliases

arxiv: 1608.05361 · arxiv_version: 1608.05361v2 · doi: 10.48550/arxiv.1608.05361 · pith_short_12: MRB34XEA5Q26 · pith_short_16: MRB34XEA5Q26C76F · pith_short_8: MRB34XEA

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/MRB34XEA5Q26C76FD4SGJSUOUD \
  | 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: 6443be5c80ec35e17fc51f2464ca8ea0fbbb5ffcaf9e435224f916bd7aa7cfed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "287852b21315c9c3e84d4cbeaebbe2e543cd463379fd97e42b429aec51f73ec8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-08-18T18:23:51Z",
    "title_canon_sha256": "2108af1e6b16cae3188f711738c2b7df5e26698b78743d6a2e0f07eab331753e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05361",
    "kind": "arxiv",
    "version": 2
  }
}