Pith Number

pith:R6YMTZCS

pith:2016:R6YMTZCS2FA4GSOQJPKLQ4Z6NT

not attested not anchored not stored refs pending

The Cauchy problem and BEC stability for the quantum Boltzmann-Condensation system for bosons at very low temperature

Irene M. Gamba, Minh-Binh Tran, Ricardo Alonso

arxiv:1609.07467 v3 · 2016-09-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6YMTZCS2FA4GSOQJPKLQ4Z6NT}

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.

Cited by

1 paper in Pith

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations

Receipt and verification

First computed	2026-05-18T00:15:38.046724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb0c9e452d141c349d04bd4b8733e6cf29ed71eb9ee9950091f6389d233bf33

Aliases

arxiv: 1609.07467 · arxiv_version: 1609.07467v3 · doi: 10.48550/arxiv.1609.07467 · pith_short_12: R6YMTZCS2FA4 · pith_short_16: R6YMTZCS2FA4GSOQ · pith_short_8: R6YMTZCS

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/R6YMTZCS2FA4GSOQJPKLQ4Z6NT \
  | 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: 8fb0c9e452d141c349d04bd4b8733e6cf29ed71eb9ee9950091f6389d233bf33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ee980e5b8d840ecee32045f8be1ae490cb40437f87178fb7321a1190d0475d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-23T19:16:26Z",
    "title_canon_sha256": "8a2f6c640c83ae2e9feb680bff174345cd2f305ababf2e3bf31a90f9253cd1cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07467",
    "kind": "arxiv",
    "version": 3
  }
}