Pith Number

pith:DX6YKQDT

pith:2014:DX6YKQDTMLNJ7FZN7X25L47OD4

not attested not anchored not stored refs pending

Time-dependent singularities in the Navier-Stokes system

Grzegorz Karch, Xiaoxin Zheng

arxiv:1401.3679 v1 · 2014-01-15 · 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{DX6YKQDTMLNJ7FZN7X25L47OD4}

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	2026-05-18T03:02:07.976327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dfd85407362da9f972dfdf5d5f3ee1f220a9b8ea5a425300ed99059131bb31d

Aliases

arxiv: 1401.3679 · arxiv_version: 1401.3679v1 · doi: 10.48550/arxiv.1401.3679 · pith_short_12: DX6YKQDTMLNJ · pith_short_16: DX6YKQDTMLNJ7FZN · pith_short_8: DX6YKQDT

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/DX6YKQDTMLNJ7FZN7X25L47OD4 \
  | 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: 1dfd85407362da9f972dfdf5d5f3ee1f220a9b8ea5a425300ed99059131bb31d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf66d58adf74ae7255caf20046fd7355e708ef28c7ad9c16ea5962c013bc1b8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-15T17:21:52Z",
    "title_canon_sha256": "e37dcb14bc604b1408dad667211896ac456dc66794b910ae280f0258f5eb6404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3679",
    "kind": "arxiv",
    "version": 1
  }
}