Pith Number

pith:TNMO2CXE

pith:2012:TNMO2CXEGYNFCPWBNJG4FSEPZO

not attested not anchored not stored refs pending

The Navier-Stokes equation and solution generating symmetries from holography

David S. Berman, Joel Berkeley

arxiv:1211.1983 v3 · 2012-11-08 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNMO2CXEGYNFCPWBNJG4FSEPZO}

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	2026-05-18T01:53:17.751238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b58ed0ae4361a513ec16a4dc2c88fcb89e91abc30a95c4312135835cf2ce331

Aliases

arxiv: 1211.1983 · arxiv_version: 1211.1983v3 · doi: 10.48550/arxiv.1211.1983 · pith_short_12: TNMO2CXEGYNF · pith_short_16: TNMO2CXEGYNFCPWB · pith_short_8: TNMO2CXE

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/TNMO2CXEGYNFCPWBNJG4FSEPZO \
  | 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: 9b58ed0ae4361a513ec16a4dc2c88fcb89e91abc30a95c4312135835cf2ce331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e99fe6b2d43103e72b695d296cf11907c49b6159803ccc06c29ad744c2d72a1",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-11-08T21:05:44Z",
    "title_canon_sha256": "7165e999d0ee8467ba4baf87f49c532b81666cb2a4114b8d09f4a987d28ffedd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1983",
    "kind": "arxiv",
    "version": 3
  }
}