Pith Number

pith:QF4WEOKZ

pith:1997:QF4WEOKZMO6XFY4PJBS4SPCDCV

not attested not anchored not stored refs pending

A particle-number-conserving Bogoliubov method which demonstrates the validity of the time-dependent Gross-Pitaevskii equation for a highly condensed Bose gas

C.W. Gardiner

arxiv:quant-ph/9703005 v1 · 1997-03-05 · 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{QF4WEOKZMO6XFY4PJBS4SPCDCV}

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	2026-05-18T01:05:01.951065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817962395963bd72e38f4865c93c4315682940f7c2a88149fec81bca6efcdf24

Aliases

arxiv: quant-ph/9703005 · arxiv_version: quant-ph/9703005v1 · doi: 10.48550/arxiv.quant-ph/9703005 · pith_short_12: QF4WEOKZMO6X · pith_short_16: QF4WEOKZMO6XFY4P · pith_short_8: QF4WEOKZ

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/QF4WEOKZMO6XFY4PJBS4SPCDCV \
  | 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: 817962395963bd72e38f4865c93c4315682940f7c2a88149fec81bca6efcdf24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ec02cb66e2bfa79f55234b35e5a7f2adb64bf0b8599bc3af992b2136d391e4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-03-05T03:37:58Z",
    "title_canon_sha256": "ba13b3acfacde94be089adb781f5c2eb550ab20fc3e6a01b27952a5923ea83c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9703005",
    "kind": "arxiv",
    "version": 1
  }
}