Pith Number

pith:JFKPX2VO

pith:2020:JFKPX2VOXM3SLIAUTC3XNO7B56

not attested not anchored not stored refs pending

A geometric trapping approach to global regularity for 2D Navier-Stokes on manifolds

Aynur Bulut, Khang Manh Huynh

arxiv:2009.07259 v1 · 2020-09-15 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JFKPX2VOXM3SLIAUTC3XNO7B56}

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	2026-07-05T08:19:06.328698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4954fbeaaebb3725a01498b776bbe1ef9823b3146cb1637735c3a037d5c1d769

Aliases

arxiv: 2009.07259 · arxiv_version: 2009.07259v1 · doi: 10.48550/arxiv.2009.07259 · pith_short_12: JFKPX2VOXM3S · pith_short_16: JFKPX2VOXM3SLIAU · pith_short_8: JFKPX2VO

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/JFKPX2VOXM3SLIAUTC3XNO7B56 \
  | 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: 4954fbeaaebb3725a01498b776bbe1ef9823b3146cb1637735c3a037d5c1d769

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "611c55392baf633cd8a915ca05724ebd58610cbe0d8e3a2aa685c112d015d076",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-09-15T17:50:33Z",
    "title_canon_sha256": "a214f940a96bfbdd2f4438da33e7a1d16baf422e2d24ca45e4e75a124fe63421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.07259",
    "kind": "arxiv",
    "version": 1
  }
}