Pith Number

pith:UMDJLRZW

pith:2018:UMDJLRZWKB2CV4POBP7XKENZHQ

not attested not anchored not stored refs pending

On linear hypersingular Boltzmann transport equation and its variational formulation

Jouko Tervo

arxiv:1808.09631 v3 · 2018-08-29 · 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{UMDJLRZWKB2CV4POBP7XKENZHQ}

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	2026-05-17T23:54:02.646699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a30695c73650742af1ee0bff7511b93c30f16d6db3fbb49967dab297bb0c512c

Aliases

arxiv: 1808.09631 · arxiv_version: 1808.09631v3 · doi: 10.48550/arxiv.1808.09631 · pith_short_12: UMDJLRZWKB2C · pith_short_16: UMDJLRZWKB2CV4PO · pith_short_8: UMDJLRZW

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/UMDJLRZWKB2CV4POBP7XKENZHQ \
  | 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: a30695c73650742af1ee0bff7511b93c30f16d6db3fbb49967dab297bb0c512c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6451fc13cb9b8090c079348dd1b51ead90b17b8f6c4585f4b90b4c33f5c27d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-29T04:10:34Z",
    "title_canon_sha256": "d17cee06d608e2428099d12787af70529a92c28c2cda216dea5cf4bc3463007c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09631",
    "kind": "arxiv",
    "version": 3
  }
}