Pith Number

pith:2K3CCAPB

pith:2018:2K3CCAPBMKRPJMBPU4LFQRVVSC

not attested not anchored not stored refs pending

Derivation of 3D energy-critical nonlinear Schr\"odinger equation and Bogoliubov excitations for Bose gases

Phan Th\`anh Nam, Robert Salzmann

arxiv:1810.09374 v3 · 2018-10-22 · math-ph · 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{2K3CCAPBMKRPJMBPU4LFQRVVSC}

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	2026-05-17T23:47:48.676103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b62101e162a2f4b02fa7165846b590a96a138c12f9faeb821148a905319742

Aliases

arxiv: 1810.09374 · arxiv_version: 1810.09374v3 · doi: 10.48550/arxiv.1810.09374 · pith_short_12: 2K3CCAPBMKRP · pith_short_16: 2K3CCAPBMKRPJMBP · pith_short_8: 2K3CCAPB

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/2K3CCAPBMKRPJMBPU4LFQRVVSC \
  | 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: d2b62101e162a2f4b02fa7165846b590a96a138c12f9faeb821148a905319742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "448abffcf87dd6051feb1151d9c3d7141aa781646a91dc228865ba0c81d30ff1",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-10-22T15:43:51Z",
    "title_canon_sha256": "ab16fc5c85b0fb71086a719398f208425661b22c5fa0ba5001b0c0cd00570ac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09374",
    "kind": "arxiv",
    "version": 3
  }
}