Pith Number

pith:TW7EVKAM

pith:2012:TW7EVKAMQJMDL5YVPVRATJRQPG

not attested not anchored not stored refs pending

Conservative Deterministic Spectral Boltzmann Solver Near the Grazing Collisions Limit

Irene M. Gamba, Jeffrey R. Haack

arxiv:1211.0327 v1 · 2012-11-01 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TW7EVKAMQJMDL5YVPVRATJRQPG}

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	2026-05-18T03:41:41.548919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dbe4aa80c825835f7157d6209a6307994efce0a26c3f180418eb33181b23eda

Aliases

arxiv: 1211.0327 · arxiv_version: 1211.0327v1 · doi: 10.48550/arxiv.1211.0327 · pith_short_12: TW7EVKAMQJMD · pith_short_16: TW7EVKAMQJMDL5YV · pith_short_8: TW7EVKAM

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/TW7EVKAMQJMDL5YVPVRATJRQPG \
  | 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: 9dbe4aa80c825835f7157d6209a6307994efce0a26c3f180418eb33181b23eda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb46ccbc84410103595116dd89dc1f21e7ae8bcc2ef9afc9048c40e1f632a9cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-11-01T23:04:17Z",
    "title_canon_sha256": "f91353c43546fa320a7ac7c4b7968ae78acc26db7af00f0ee3df0cb6b369b6ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0327",
    "kind": "arxiv",
    "version": 1
  }
}