Pith Number

pith:TLTTLLIO

pith:2020:TLTTLLION7IJUNW3Y37V4WNP7X

not attested not anchored not stored refs pending

The condensed fraction of a homogeneous dilute Bose gas within the improved Hartree-Fock approximation

Jonas Berx, Nguyen Van Thu

arxiv:2002.01624 v4 · 2020-02-05 · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLTTLLION7IJUNW3Y37V4WNP7X}

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	2026-07-05T04:33:17.303012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ae735ad0e6fd09a36dbc6ff5e59affde9bc28871072d14410441d0431a04e3b

Aliases

arxiv: 2002.01624 · arxiv_version: 2002.01624v4 · doi: 10.48550/arxiv.2002.01624 · pith_short_12: TLTTLLION7IJ · pith_short_16: TLTTLLION7IJUNW3 · pith_short_8: TLTTLLIO

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/TLTTLLION7IJUNW3Y37V4WNP7X \
  | 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: 9ae735ad0e6fd09a36dbc6ff5e59affde9bc28871072d14410441d0431a04e3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80fd7a01b26db133e67f8cbe0bf35b3346e3e6962e597b5fe88f7c5a12a96bfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2020-02-05T03:42:07Z",
    "title_canon_sha256": "5b862aceac7c58da18a5064f9e44b94e41403345e33433165b100c5b164d4255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.01624",
    "kind": "arxiv",
    "version": 4
  }
}