Pith Number

pith:DGMTQAKN

pith:2010:DGMTQAKNUS4W4S4CENN2KCSEWT

not attested not anchored not stored refs pending

A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime

Francis Filbet (ICJ), Jingwei Hu (DM), Shi Jin (DM)

arxiv:1009.3352 v1 · 2010-09-17 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGMTQAKNUS4W4S4CENN2KCSEWT}

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	2026-05-18T04:40:45.889501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

199938014da4b96e4b82235ba50a44b4c6881dd9b0a5fdbb575c512f426eccc8

Aliases

arxiv: 1009.3352 · arxiv_version: 1009.3352v1 · doi: 10.48550/arxiv.1009.3352 · pith_short_12: DGMTQAKNUS4W · pith_short_16: DGMTQAKNUS4W4S4C · pith_short_8: DGMTQAKN

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/DGMTQAKNUS4W4S4CENN2KCSEWT \
  | 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: 199938014da4b96e4b82235ba50a44b4c6881dd9b0a5fdbb575c512f426eccc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7e612e27ca36fb30694a7480ef37c6d27495de5b1245be008dfbd48e983a58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-09-17T07:36:27Z",
    "title_canon_sha256": "8887407d83d61b270dc453de7abb8507ffe4c5ef64a24fece17d00507dd2bbfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3352",
    "kind": "arxiv",
    "version": 1
  }
}