Pith Number

pith:EXF32TUM

pith:2015:EXF32TUMIVY2L3FP3BDXE4JZF4

not attested not anchored not stored refs pending

Leading gradient correction to the kinetic energy for two-dimensional fermion gases

Berthold-Georg Englert, Cord Axel M\"uller, Hui Khoon Ng, Martin-Isbj\"orn Trappe, Yink Loong Len

arxiv:1512.07367 v2 · 2015-12-23 · cond-mat.quant-gas · physics.atom-ph · 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{EXF32TUMIVY2L3FP3BDXE4JZF4}

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	2026-05-18T01:16:15.052810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25cbbd4e8c4571a5ecafd8477271392f21859afacc2482624877fda44df886ef

Aliases

arxiv: 1512.07367 · arxiv_version: 1512.07367v2 · doi: 10.48550/arxiv.1512.07367 · pith_short_12: EXF32TUMIVY2 · pith_short_16: EXF32TUMIVY2L3FP · pith_short_8: EXF32TUM

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/EXF32TUMIVY2L3FP3BDXE4JZF4 \
  | 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: 25cbbd4e8c4571a5ecafd8477271392f21859afacc2482624877fda44df886ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5843fe39bdf2f066dcdfff8663e0810dfe13036220a60651a07dbaaaa7469222",
    "cross_cats_sorted": [
      "physics.atom-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2015-12-23T06:53:39Z",
    "title_canon_sha256": "23560fc3438efcd738ac2211f51eb3bdefe6d11fe8508c0b2c1b8d7804c80547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07367",
    "kind": "arxiv",
    "version": 2
  }
}