Pith Number

pith:4ZXSM7AU

pith:2011:4ZXSM7AU6LEUQY7ZA2TCXAC2F6

not attested not anchored not stored refs pending

Solution to the Navier-Stokes equations with random initial data

Evelina Shamarova

arxiv:1106.3861 v3 · 2011-06-20 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZXSM7AU6LEUQY7ZA2TCXAC2F6}

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	2026-05-18T01:19:14.714379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66f267c14f2c94863f906a62b805a2fa4854b706bad09d551d66c4090b29874

Aliases

arxiv: 1106.3861 · arxiv_version: 1106.3861v3 · doi: 10.48550/arxiv.1106.3861 · pith_short_12: 4ZXSM7AU6LEU · pith_short_16: 4ZXSM7AU6LEUQY7Z · pith_short_8: 4ZXSM7AU

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/4ZXSM7AU6LEUQY7ZA2TCXAC2F6 \
  | 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: e66f267c14f2c94863f906a62b805a2fa4854b706bad09d551d66c4090b29874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b8c84f205fe357ad4ece1c01e892c16c7a40a2ac245cff86fed3b1816c79b0f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-20T10:50:21Z",
    "title_canon_sha256": "ec61ac291ac0b7cc533134f02d343522364e3a01f5985e6a1f3dba0c1414d83f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3861",
    "kind": "arxiv",
    "version": 3
  }
}