Pith Number

pith:2HQVTFFB

pith:1993:2HQVTFFBSS2TJBPLVLG5VPRQGC

not attested not anchored not stored refs pending

Turbulence as Statistics of Vortex Cells

A.A.Migdal

arxiv:hep-th/9306152 v2 · 1993-06-29 · hep-th · cond-mat · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HQVTFFBSS2TJBPLVLG5VPRQGC}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-04T15:07:34.471937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e15994a194b53485ebaacddabe3030882a8dd5f6248d460c662f78c7a43609

Aliases

arxiv: hep-th/9306152 · arxiv_version: hep-th/9306152v2 · doi: 10.48550/arxiv.hep-th/9306152 · pith_short_12: 2HQVTFFBSS2T · pith_short_16: 2HQVTFFBSS2TJBPL · pith_short_8: 2HQVTFFB

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/2HQVTFFBSS2TJBPLVLG5VPRQGC \
  | 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: d1e15994a194b53485ebaacddabe3030882a8dd5f6248d460c662f78c7a43609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a83162e4213f96caa053ef5a8a3f01a8a20ba3413b8757640503a8d4e64739",
    "cross_cats_sorted": [
      "cond-mat",
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-06-29T02:21:31Z",
    "title_canon_sha256": "1047bff22bf06b4075dce6d854b3a2ec77940b280e5ecb973624072027b4d559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9306152",
    "kind": "arxiv",
    "version": 2
  }
}