Pith Number

pith:GLIXZJFK

pith:2026:GLIXZJFK64JZ5ZVBPIXUYZGKH3

not attested not anchored not stored refs pending

Logarithmic Depletion of Vortex Stretching and Singularity Evasion in the 3D Navier-Stokes Equations

Zoran Grujic

arxiv:2607.08866 v1 · 2026-07-09 · 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{GLIXZJFK64JZ5ZVBPIXUYZGKH3}

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	2026-07-13T00:17:23.125016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d17ca4aaf7139ee6a17a2f4c64ca3ec7052cc8644050ddc6e103a0fa182d42

Aliases

arxiv: 2607.08866 · arxiv_version: 2607.08866v1 · doi: 10.48550/arxiv.2607.08866 · pith_short_12: GLIXZJFK64JZ · pith_short_16: GLIXZJFK64JZ5ZVB · pith_short_8: GLIXZJFK

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/GLIXZJFK64JZ5ZVBPIXUYZGKH3 \
  | 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: 32d17ca4aaf7139ee6a17a2f4c64ca3ec7052cc8644050ddc6e103a0fa182d42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8deef933f97ff05dd088d30dd67e09ac7cf416748f13b9c2f1af86d4ec43309",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-09T18:38:04Z",
    "title_canon_sha256": "b64df834b1c59affefdefed3c5019c3d7dec06965c06fe4359b32598d8dc2648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08866",
    "kind": "arxiv",
    "version": 1
  }
}