Pith Number

pith:5PJDPQIO

pith:2014:5PJDPQIOWBW4D4AUMYVUD2DZUS

not attested not anchored not stored refs pending

The mean-field approximation and the non-linear Schr\"odinger functional for trapped Bose gases

Mathieu Lewin (CEREMADE), Nicolas Rougerie (LPMMC), Phan Th\`anh Nam (IST Austria)

arxiv:1405.3220 v3 · 2014-05-13 · math-ph · cond-mat.quant-gas · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PJDPQIOWBW4D4AUMYVUD2DZUS}

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	2026-05-18T01:32:10.877497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd237c10eb06dc1f014662b41e879a48cf09078dc6644deee292c405fe12b6d

Aliases

arxiv: 1405.3220 · arxiv_version: 1405.3220v3 · doi: 10.48550/arxiv.1405.3220 · pith_short_12: 5PJDPQIOWBW4 · pith_short_16: 5PJDPQIOWBW4D4AU · pith_short_8: 5PJDPQIO

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/5PJDPQIOWBW4D4AUMYVUD2DZUS \
  | 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: ebd237c10eb06dc1f014662b41e879a48cf09078dc6644deee292c405fe12b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f88b89d8ea824c763e07c1c1a1391720af64736da97fea0ae8531eabbe79f4a7",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-05-13T16:39:56Z",
    "title_canon_sha256": "889b4b26a2d6f373e0f86b150123a36bd8d43132e740f3c5f6e51d22da0e934a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3220",
    "kind": "arxiv",
    "version": 3
  }
}