Pith Number

pith:EHAWRFBR

pith:2013:EHAWRFBRVZVPUT2KCQQSFFLT2E

not attested not anchored not stored refs pending

Time analyticity with higher norm estimates for the 2D Navier-Stokes equations

Bingsheng Zhang, Ciprian Foias, Michael S. Jolly, Rishika Rupam, Ruomeng Lan, Yong Yang

arxiv:1312.0929 v1 · 2013-12-03 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EHAWRFBRVZVPUT2KCQQSFFLT2E}

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	2026-05-18T03:05:36.376792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21c1689431ae6afa4f4a1421229573d12b9d16381373edb70b33892ac5db8ca2

Aliases

arxiv: 1312.0929 · arxiv_version: 1312.0929v1 · doi: 10.48550/arxiv.1312.0929 · pith_short_12: EHAWRFBRVZVP · pith_short_16: EHAWRFBRVZVPUT2K · pith_short_8: EHAWRFBR

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/EHAWRFBRVZVPUT2KCQQSFFLT2E \
  | 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: 21c1689431ae6afa4f4a1421229573d12b9d16381373edb70b33892ac5db8ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f5a86606aeba4eccbe2350869bc2c87290d176a1cca259ff8a2a318dd4085a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-03T20:49:10Z",
    "title_canon_sha256": "bfa2de17c260db3c3c794bb32677c7cc9f61e6da230686d8ceae8700df1441cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0929",
    "kind": "arxiv",
    "version": 1
  }
}