Pith Number

pith:3BXSMOHP

pith:2013:3BXSMOHPCDVMQFPCMXVFDKE6LR

not attested not anchored not stored refs pending

Pointwise Behavior of the Linearized Boltzmann Equation on Torus

Kung-Chien Wu

arxiv:1301.0734 v1 · 2013-01-04 · math-ph · 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{3BXSMOHPCDVMQFPCMXVFDKE6LR}

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	2026-05-18T03:37:17.786063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d86f2638ef10eac815e265ea51a89e5c779a322f14e89c11855de0aeeef0c849

Aliases

arxiv: 1301.0734 · arxiv_version: 1301.0734v1 · doi: 10.48550/arxiv.1301.0734 · pith_short_12: 3BXSMOHPCDVM · pith_short_16: 3BXSMOHPCDVMQFPC · pith_short_8: 3BXSMOHP

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/3BXSMOHPCDVMQFPCMXVFDKE6LR \
  | 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: d86f2638ef10eac815e265ea51a89e5c779a322f14e89c11855de0aeeef0c849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1641781693f1cac7a7e157685919f57aba585899c199f6d9452faf4f3a860e83",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-04T14:33:24Z",
    "title_canon_sha256": "99c79a38be1b2ec1de8003f103512d025afa8b143ab9986ca311971c781fe894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0734",
    "kind": "arxiv",
    "version": 1
  }
}