Pith Number

pith:DURBEPC6

pith:2007:DURBEPC6TMPWVC337TSDMJZN74

not attested not anchored not stored refs pending

Abstract kinetic equations with positive collision operators

Canada), I. M. Karabash (the University of Calgary

arxiv:0708.2510 v2 · 2007-08-18 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DURBEPC6TMPWVC337TSDMJZN74}

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	2026-05-18T04:30:58.572259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d22123c5e9b1f6a8b7bfce436272dff2188dddaedcb1be3fd6bc3613e451e60

Aliases

arxiv: 0708.2510 · arxiv_version: 0708.2510v2 · doi: 10.48550/arxiv.0708.2510 · pith_short_12: DURBEPC6TMPW · pith_short_16: DURBEPC6TMPWVC33 · pith_short_8: DURBEPC6

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/DURBEPC6TMPWVC337TSDMJZN74 \
  | 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: 1d22123c5e9b1f6a8b7bfce436272dff2188dddaedcb1be3fd6bc3613e451e60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f115fa7cc1d422e35d1fee40cbbda08aa2838fa9efad2e48301aa7ccea80539a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2007-08-18T23:14:45Z",
    "title_canon_sha256": "48663dbcf7bc5ec76ac876d88812486186a729a15fe5c20826e891753a3f0a99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2510",
    "kind": "arxiv",
    "version": 2
  }
}