Pith Number

pith:5NAWJ757

pith:2009:5NAWJ757XA6D5BQATLQDE33M5T

not attested not anchored not stored refs pending

String Theory and Turbulence

Chia-Hsiung Tze, Djordje Minic, Vishnu Jejjala, Y. Jack Ng

arxiv:0912.2725 v2 · 2009-12-14 · 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{5NAWJ757XA6D5BQATLQDE33M5T}

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	2026-05-18T04:26:31.873279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb4164ffbfb83c3e86009ae0326f6ceccf756265f4c098bd73bfc5185a4a173e

Aliases

arxiv: 0912.2725 · arxiv_version: 0912.2725v2 · doi: 10.48550/arxiv.0912.2725 · pith_short_12: 5NAWJ757XA6D · pith_short_16: 5NAWJ757XA6D5BQA · pith_short_8: 5NAWJ757

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/5NAWJ757XA6D5BQATLQDE33M5T \
  | 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: eb4164ffbfb83c3e86009ae0326f6ceccf756265f4c098bd73bfc5185a4a173e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2edf4bd10af50985ec30bf63bcf2cf7f6933009f1d2cc425a5e34079ae614f03",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-12-14T21:23:05Z",
    "title_canon_sha256": "a90dec17b554ae52e7bbb200e2c4b1da8f01ecb7f8abc299d41246a15387b1ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2725",
    "kind": "arxiv",
    "version": 2
  }
}