Pith Number

pith:5HK3JS6O

pith:2016:5HK3JS6OJWEF7CJZLE6UBPQMXY

not attested not anchored not stored refs pending

Existence and uniqueness of $L^p$ solutions to the Boltzmann equation with an angle-potential concentrated collision kernel

I.M. Gamba, S. Akopian

arxiv:1611.06316 v1 · 2016-11-19 · 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{5HK3JS6OJWEF7CJZLE6UBPQMXY}

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	2026-05-18T00:57:39.030865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d5b4cbce4d885f8939593d40be0cbe1d1a732d26867f8f47f7de62ed36cd95

Aliases

arxiv: 1611.06316 · arxiv_version: 1611.06316v1 · doi: 10.48550/arxiv.1611.06316 · pith_short_12: 5HK3JS6OJWEF · pith_short_16: 5HK3JS6OJWEF7CJZ · pith_short_8: 5HK3JS6O

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/5HK3JS6OJWEF7CJZLE6UBPQMXY \
  | 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: e9d5b4cbce4d885f8939593d40be0cbe1d1a732d26867f8f47f7de62ed36cd95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead550e7fb9e8e571f625c9e7d44fbeedff70db421ccd8a4e6082b22082ed195",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-19T06:49:30Z",
    "title_canon_sha256": "eeaeaddf40f6f4b69a9d75b931bf981851039e1d1c0b6e86b32e48db496253ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06316",
    "kind": "arxiv",
    "version": 1
  }
}