Pith Number

pith:GJFAHHOD

pith:2019:GJFAHHODBVSM3YVGHSF3ZZ74RH

not attested not anchored not stored refs pending

Analytic and Numerical Study of Navier-Stokes Loop Equation in Turbulence

Alexander Migdal

arxiv:1908.01422 v1 · 2019-08-04 · hep-th · nlin.CD · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJFAHHODBVSM3YVGHSF3ZZ74RH}

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	2026-07-04T23:51:30.290154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

324a039dc30d64cde2a63c8bbce7fc89ebb82fd922c8976aae7f9774be545833

Aliases

arxiv: 1908.01422 · arxiv_version: 1908.01422v1 · doi: 10.48550/arxiv.1908.01422 · pith_short_12: GJFAHHODBVSM · pith_short_16: GJFAHHODBVSM3YVG · pith_short_8: GJFAHHOD

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/GJFAHHODBVSM3YVGHSF3ZZ74RH \
  | 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: 324a039dc30d64cde2a63c8bbce7fc89ebb82fd922c8976aae7f9774be545833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec091a05ecb5ecaac2b6e52b2d04f7c4dfbb1904229e48282edf32b1bb04154f",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-08-04T23:17:55Z",
    "title_canon_sha256": "db0479a59cf3dd39b9a9edf61d19159238e20615701360c7899278294ce97976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01422",
    "kind": "arxiv",
    "version": 1
  }
}