Pith Number

pith:KC3LAQAZ

pith:2016:KC3LAQAZCS44LFIQOIJV4MICPR

not attested not anchored not stored refs pending

The weak solution to a Boltzmann type equation and its energy conservation

Cheng Yu

arxiv:1603.06932 v2 · 2016-03-22 · 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{KC3LAQAZCS44LFIQOIJV4MICPR}

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	2026-05-18T01:17:32.350872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b6b0401914b9c5951072135e31027c5c099ba3d79c1a8c49f6b0c91d90ee53

Aliases

arxiv: 1603.06932 · arxiv_version: 1603.06932v2 · doi: 10.48550/arxiv.1603.06932 · pith_short_12: KC3LAQAZCS44 · pith_short_16: KC3LAQAZCS44LFIQ · pith_short_8: KC3LAQAZ

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/KC3LAQAZCS44LFIQOIJV4MICPR \
  | 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: 50b6b0401914b9c5951072135e31027c5c099ba3d79c1a8c49f6b0c91d90ee53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc654431933c872c3490730c0df50a73d4641b4a0ad964478c0df43fcecb007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-22T19:47:18Z",
    "title_canon_sha256": "928a0f017ad45093b8b09d0b122f7be8fe9fe629832ddb05797c817f17ff8b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06932",
    "kind": "arxiv",
    "version": 2
  }
}