Pith Number

pith:R7VZGNL3

pith:2012:R7VZGNL366XAXMKCXW2BMHDJIM

not attested not anchored not stored refs pending

Quantum Hydrodynamic Model by Moment Closure of Wigner Equation

Ruo Li, Tiao Lu, Yanli Wang, Yuwei Fan, Zhenning Cai

arxiv:1205.2803 v1 · 2012-05-12 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7VZGNL366XAXMKCXW2BMHDJIM}

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	2026-05-18T01:57:32.891730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8feb93357bf7ae0bb142bdb4161c694319222bfe2fa27ba2c4096522c549aeea

Aliases

arxiv: 1205.2803 · arxiv_version: 1205.2803v1 · doi: 10.48550/arxiv.1205.2803 · pith_short_12: R7VZGNL366XA · pith_short_16: R7VZGNL366XAXMKC · pith_short_8: R7VZGNL3

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/R7VZGNL366XAXMKCXW2BMHDJIM \
  | 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: 8feb93357bf7ae0bb142bdb4161c694319222bfe2fa27ba2c4096522c549aeea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5545ca1b4d04ec80e9af24aa5d5389d60fa4deedc4f71c3357710271af51a84",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-12T18:05:18Z",
    "title_canon_sha256": "1595463b34a5d3b19d424f3e9575e1a119dd28e04c06d7e52ede7bc3eab5c191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2803",
    "kind": "arxiv",
    "version": 1
  }
}