Pith Number

pith:2F4RHR4V

pith:2017:2F4RHR4V7LMCB2IFNOGXVJ4DTH

not attested not anchored not stored refs pending

A recursive algorithm and a series expansion related to the homogeneous Boltzmann equation for hard potentials with angular cutoff

Nicolas Fournier

arxiv:1703.10874 v1 · 2017-03-31 · 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{2F4RHR4V7LMCB2IFNOGXVJ4DTH}

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	2026-05-18T00:47:32.436997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d17913c795fad820e9056b8d7aa78399ed13c155a354f21eb7fbc9eefc4f5d0f

Aliases

arxiv: 1703.10874 · arxiv_version: 1703.10874v1 · doi: 10.48550/arxiv.1703.10874 · pith_short_12: 2F4RHR4V7LMC · pith_short_16: 2F4RHR4V7LMCB2IF · pith_short_8: 2F4RHR4V

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/2F4RHR4V7LMCB2IFNOGXVJ4DTH \
  | 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: d17913c795fad820e9056b8d7aa78399ed13c155a354f21eb7fbc9eefc4f5d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b60abb34332a2a478ef7802383fa7335551dfb8ee2117fc161e540b9570f0db4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-31T12:10:30Z",
    "title_canon_sha256": "b959b99b7393fca455dd35c26992152c37b6dcbf50dd6526eb0d2e4da62e4f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10874",
    "kind": "arxiv",
    "version": 1
  }
}