Pith Number

pith:VT3CDTBB

pith:2013:VT3CDTBBRX2NWX5JVQISDTWCZZ

not attested not anchored not stored refs pending

An asymptotic-preserving scheme for the semiconductor Boltzmann equation toward the energy-transport limit

Jingwei Hu, Li Wang

arxiv:1309.1330 v1 · 2013-09-05 · 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{VT3CDTBBRX2NWX5JVQISDTWCZZ}

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	2026-05-18T03:14:07.549890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf621cc218df4db5fa9ac1121cec2ce5482ba670b71fd55af080a4004d624e9

Aliases

arxiv: 1309.1330 · arxiv_version: 1309.1330v1 · doi: 10.48550/arxiv.1309.1330 · pith_short_12: VT3CDTBBRX2N · pith_short_16: VT3CDTBBRX2NWX5J · pith_short_8: VT3CDTBB

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/VT3CDTBBRX2NWX5JVQISDTWCZZ \
  | 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: acf621cc218df4db5fa9ac1121cec2ce5482ba670b71fd55af080a4004d624e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7768e5a5491ac6b31b72faa5e0b35d037a2d17343b7b5097effa54490cb91393",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-09-05T12:28:29Z",
    "title_canon_sha256": "eb438a4ea305fd5a0a3c0ce0ca0076b1551da39b88ec14996881a340a3d590d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1330",
    "kind": "arxiv",
    "version": 1
  }
}