Pith Number

pith:ZP6F6UMJ

pith:2018:ZP6F6UMJ3WPLYY2K5JZ3Q2ADYE

not attested not anchored not stored refs pending

Quantum Hydrodynamics: Kirchhoff Equations

K. V. S. Shiv Chaitanya

arxiv:1809.09964 v2 · 2018-09-13 · quant-ph · physics.hist-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZP6F6UMJ3WPLYY2K5JZ3Q2ADYE}

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	2026-05-17T23:51:33.200918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbfc5f5189dd9ebc634aea73b86803c11328662f268da238b796aa6dd550a96f

Aliases

arxiv: 1809.09964 · arxiv_version: 1809.09964v2 · doi: 10.48550/arxiv.1809.09964 · pith_short_12: ZP6F6UMJ3WPL · pith_short_16: ZP6F6UMJ3WPLYY2K · pith_short_8: ZP6F6UMJ

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/ZP6F6UMJ3WPLYY2K5JZ3Q2ADYE \
  | 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: cbfc5f5189dd9ebc634aea73b86803c11328662f268da238b796aa6dd550a96f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db76d216d425a508624d98b991e1082b24e40ac6ca3865cc2c81b95f57ea85a8",
    "cross_cats_sorted": [
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-09-13T18:33:14Z",
    "title_canon_sha256": "0937f7c6d0e8e1fd6c0d4c190a291f9295fe14292a9fafb99d7eb641091d7564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09964",
    "kind": "arxiv",
    "version": 2
  }
}