Pith Number

pith:4OONHDHG

pith:2013:4OONHDHGAZYCA5CZJNORRWSHMI

not attested not anchored not stored refs pending

The existence of solutions of 2-dimensional incompressible Navier-Stokes equations with surface tension in an optimal Sobolev space

C.H. Arthur Cheng, Cheng-Fang Su, Ying-Chieh Lin

arxiv:1307.3702 v1 · 2013-07-14 · 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{4OONHDHGAZYCA5CZJNORRWSHMI}

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	2026-05-18T03:18:28.135035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39cd38ce606702074594b5d18da47621f04dbea55dd60550e950f6e7a784d1c

Aliases

arxiv: 1307.3702 · arxiv_version: 1307.3702v1 · doi: 10.48550/arxiv.1307.3702 · pith_short_12: 4OONHDHGAZYC · pith_short_16: 4OONHDHGAZYCA5CZ · pith_short_8: 4OONHDHG

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/4OONHDHGAZYCA5CZJNORRWSHMI \
  | 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: e39cd38ce606702074594b5d18da47621f04dbea55dd60550e950f6e7a784d1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f35da267b504207c212367aa4567ec1e5096f96292766c230b696474d991302",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-14T06:27:35Z",
    "title_canon_sha256": "bc02d37eaf1ae65f928dcf67a09cddb38e8395986cb2fb75ad8d529af1b7a571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3702",
    "kind": "arxiv",
    "version": 1
  }
}