Pith Number

pith:GRN5ODNW

pith:1992:GRN5ODNW7F5HAQ3MEFALCYVDVN

not attested not anchored not stored refs pending

The Theory of Turbulence in Two Dimensions

A.M. Polyakov

arxiv:hep-th/9212145 v1 · 1992-12-23 · hep-th · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRN5ODNW7F5HAQ3MEFALCYVDVN}

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

Topology and the Conformal Invariance of Nodal Lines in Two-Dimensional Active Scalar Turbulence

Receipt and verification

First computed	2026-07-04T15:55:28.416816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345bd70db6f97a70436c2140b162a3ab6d5c5448d8ceefac0c51a12acb6fae7a

Aliases

arxiv: hep-th/9212145 · arxiv_version: hep-th/9212145v1 · doi: 10.48550/arxiv.hep-th/9212145 · pith_short_12: GRN5ODNW7F5H · pith_short_16: GRN5ODNW7F5HAQ3M · pith_short_8: GRN5ODNW

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/GRN5ODNW7F5HAQ3MEFALCYVDVN \
  | 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: 345bd70db6f97a70436c2140b162a3ab6d5c5448d8ceefac0c51a12acb6fae7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f2904cd0d709cb86ab8d43ee674949553e9131882da9814735bfbd2428e16cc",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1992-12-23T18:10:51Z",
    "title_canon_sha256": "774b5d140895fb04597ac428e6a69dc2d2fea5b4ff6e08d709c606f7086ddfca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9212145",
    "kind": "arxiv",
    "version": 1
  }
}