Pith Number

pith:6MQ4BKIY

pith:2010:6MQ4BKIY5F4ZB3QIWSZOPP6X76

not attested not anchored not stored refs pending

Global Classical Solutions of the Boltzmann Equation without Angular Cut-off

Philip T. Gressman, Robert M. Strain

arxiv:1011.5441 v1 · 2010-11-24 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MQ4BKIY5F4ZB3QIWSZOPP6X76}

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	2026-05-18T04:25:11.067783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f321c0a918e97990ee08b4b2e7bfd7ff926fde800016b638a9a6f09b7d6a605c

Aliases

arxiv: 1011.5441 · arxiv_version: 1011.5441v1 · doi: 10.48550/arxiv.1011.5441 · pith_short_12: 6MQ4BKIY5F4Z · pith_short_16: 6MQ4BKIY5F4ZB3QI · pith_short_8: 6MQ4BKIY

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/6MQ4BKIY5F4ZB3QIWSZOPP6X76 \
  | 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: f321c0a918e97990ee08b4b2e7bfd7ff926fde800016b638a9a6f09b7d6a605c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce8a200a3a03ef6f097dc1cd8a9e7ed990ee4f79629beee89b9c9159cdda1ef",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-24T17:44:20Z",
    "title_canon_sha256": "91670cc7715d47c727e431ec5e4f5b1bdbfc147ee77fcf490b4e1433924afcfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5441",
    "kind": "arxiv",
    "version": 1
  }
}