Pith Number

pith:Y6QCZJFA

pith:2021:Y6QCZJFARPIFUUNQCI5NWRILIK

not attested not anchored not stored refs pending

On the vanishing viscosity limit of statistical solutions of the incompressible Navier-Stokes equations

Franziska Weber, Siddhartha Mishra, Ulrik Skre Fjordholm

arxiv:2110.04674 v2 · 2021-10-10 · 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{Y6QCZJFARPIFUUNQCI5NWRILIK}

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	2026-07-05T04:07:41.266072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a02ca4a08bd05a51b0123adb450b4288a584528626b4eb4588f3918c294d2b

Aliases

arxiv: 2110.04674 · arxiv_version: 2110.04674v2 · doi: 10.48550/arxiv.2110.04674 · pith_short_12: Y6QCZJFARPIF · pith_short_16: Y6QCZJFARPIFUUNQ · pith_short_8: Y6QCZJFA

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/Y6QCZJFARPIFUUNQCI5NWRILIK \
  | 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: c7a02ca4a08bd05a51b0123adb450b4288a584528626b4eb4588f3918c294d2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66b9d3dba91b6e1aa1955b38970bb79145067d569bceef32eeff92dabe252f9a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-10T01:11:11Z",
    "title_canon_sha256": "66ab06d382f446ca595ce39907ab052b3d20ab6662e3d82d592ca73a8110c5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.04674",
    "kind": "arxiv",
    "version": 2
  }
}