Pith Number

pith:ELTEPYSA

pith:2012:ELTEPYSA6624BR5LOOZBW62C5T

not attested not anchored not stored refs pending

Asymptotic of grazing collisions for the spatially homogeneous Boltzmann equation for soft and Coulomb potentials

David Godinho

arxiv:1212.4971 v1 · 2012-12-20 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELTEPYSA6624BR5LOOZBW62C5T}

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	2026-05-18T03:38:04.197211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e647e240f7b5c0c7ab73b21b7b42ecc1c9e5b8389d40c9051d82adc93f99e8

Aliases

arxiv: 1212.4971 · arxiv_version: 1212.4971v1 · doi: 10.48550/arxiv.1212.4971 · pith_short_12: ELTEPYSA6624 · pith_short_16: ELTEPYSA6624BR5L · pith_short_8: ELTEPYSA

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/ELTEPYSA6624BR5LOOZBW62C5T \
  | 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: 22e647e240f7b5c0c7ab73b21b7b42ecc1c9e5b8389d40c9051d82adc93f99e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "897d356e5fcfbdf5936ab648be9c81ffaf37653f7e594b2aed46e4fa3cc0be90",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-20T10:40:58Z",
    "title_canon_sha256": "6087e8cea4d1e6abe14938af4d4b25b163f2c946701dc13b1bf7fc899a1544fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4971",
    "kind": "arxiv",
    "version": 1
  }
}