Pith Number

pith:5CRNLEAQ

pith:2010:5CRNLEAQYSKZEJUPPDO2ZUVX5Z

not attested not anchored not stored refs pending

Quantum Gravity and Turbulence

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

arxiv:1005.3254 v1 · 2010-05-18 · gr-qc · 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{5CRNLEAQYSKZEJUPPDO2ZUVX5Z}

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	2026-05-18T04:31:41.185145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8a2d59010c49592268f78ddacd2b7ee63c57cd92712a438ea0285121846f4be

Aliases

arxiv: 1005.3254 · arxiv_version: 1005.3254v1 · doi: 10.48550/arxiv.1005.3254 · pith_short_12: 5CRNLEAQYSKZ · pith_short_16: 5CRNLEAQYSKZEJUP · pith_short_8: 5CRNLEAQ

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/5CRNLEAQYSKZEJUPPDO2ZUVX5Z \
  | 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: e8a2d59010c49592268f78ddacd2b7ee63c57cd92712a438ea0285121846f4be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "950881f366d47c3a282994659e5ce65ab658725670cdb209de0c3dd7f4f00d79",
    "cross_cats_sorted": [
      "hep-th",
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-18T17:09:47Z",
    "title_canon_sha256": "51f7261cbcbc4e3bc7c3f5209ae8c547b923f90e44bd80e8919435b0de2f0afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3254",
    "kind": "arxiv",
    "version": 1
  }
}