Pith Number

pith:43DQODUC

pith:2014:43DQODUCBY4FRWNPACG7GAPQKG

not attested not anchored not stored refs pending

Density matrix form of Gross-Pitaevskii equation

O. V. Man'ko, V. I. Man'ko, V. N. Chernega

arxiv:1404.7089 v1 · 2014-04-28 · quant-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{43DQODUCBY4FRWNPACG7GAPQKG}

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	2026-05-17T23:54:27.382907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6c7070e820e3858d9af008df301f05184d23a1149f77ef0f5cdf656f4838a5e

Aliases

arxiv: 1404.7089 · arxiv_version: 1404.7089v1 · doi: 10.48550/arxiv.1404.7089 · pith_short_12: 43DQODUCBY4F · pith_short_16: 43DQODUCBY4FRWNP · pith_short_8: 43DQODUC

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/43DQODUCBY4FRWNPACG7GAPQKG \
  | 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: e6c7070e820e3858d9af008df301f05184d23a1149f77ef0f5cdf656f4838a5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0889aabe65762fa8a225e9c8b1b052edc84fb15ba501c336dc20c3e725ad2eff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-04-28T18:48:24Z",
    "title_canon_sha256": "08c5433f94e8008ff85cf125f9527eba2de2b99acb60f058eed2ce7d0cdf4562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7089",
    "kind": "arxiv",
    "version": 1
  }
}