Pith Number

pith:J4NGCDGK

pith:1998:J4NGCDGKV2SQOZUNKJMAL4AGOR

not attested not anchored not stored refs pending

Mean-density Bogoliubov description of inhomogeneous Bose-condensed gases

John A. Vaccaro

arxiv:quant-ph/9808002 v2 · 1998-08-03 · 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{J4NGCDGKV2SQOZUNKJMAL4AGOR}

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	2026-05-18T01:05:00.457770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1a610ccaaea507668d525805f0067472a4208b3024545198b0238d7bd5b4ee

Aliases

arxiv: quant-ph/9808002 · arxiv_version: quant-ph/9808002v2 · doi: 10.48550/arxiv.quant-ph/9808002 · pith_short_12: J4NGCDGKV2SQ · pith_short_16: J4NGCDGKV2SQOZUN · pith_short_8: J4NGCDGK

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/J4NGCDGKV2SQOZUNKJMAL4AGOR \
  | 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: 4f1a610ccaaea507668d525805f0067472a4208b3024545198b0238d7bd5b4ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8050eedbb55b8ba381e611eeacbd9b2aeb5dd08d19e790945d9e21dc1266888a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-08-03T12:01:24Z",
    "title_canon_sha256": "f4f5f3c732dbf940faad5a33459983fd99b14db33c0975ca1aefb27f4cf90483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9808002",
    "kind": "arxiv",
    "version": 2
  }
}