Pith Number

pith:67E32PDJ

pith:2016:67E32PDJSXEKMOWBZGWQ25WGKB

not attested not anchored not stored refs pending

Estimates for the kinetic transport equation in hyperbolic Sobolev spaces

Jonathan Bennett, Neal Bez, Sanghyuk Lee, Susana Gutierrez

arxiv:1607.03328 v3 · 2016-07-12 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67E32PDJSXEKMOWBZGWQ25WGKB}

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	2026-05-18T00:47:33.703149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c9bd3c6995c8a63ac1c9ad0d76c6505400ca680e99843e1f4135c1409b3e8b

Aliases

arxiv: 1607.03328 · arxiv_version: 1607.03328v3 · doi: 10.48550/arxiv.1607.03328 · pith_short_12: 67E32PDJSXEK · pith_short_16: 67E32PDJSXEKMOWB · pith_short_8: 67E32PDJ

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/67E32PDJSXEKMOWBZGWQ25WGKB \
  | 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: f7c9bd3c6995c8a63ac1c9ad0d76c6505400ca680e99843e1f4135c1409b3e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "848e472d57932534258071e2d1c9e5a062599ce8df66d8e9955d249a54493b23",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-12T12:23:56Z",
    "title_canon_sha256": "2a461001b4904c0457b7a1f1797197fca6e48898285cf222428f3ae6e5397256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03328",
    "kind": "arxiv",
    "version": 3
  }
}