Pith Number

pith:WJNIFAOD

pith:2026:WJNIFAODCE7S7BCTMTLR3XDPNW

not attested not anchored not stored refs pending

Pointwise bounds and obstructions to blowup for the Landau and Boltzmann equations

Christopher Henderson, Luis Silvestre, William Golding

arxiv:2605.20426 v1 · 2026-05-19 · 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{WJNIFAODCE7S7BCTMTLR3XDPNW}

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	2026-05-21T01:04:37.468950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b25a8281c3113f2f845364d71ddc6f6d8947cc3f12aa8de95822a04dc14e8e02

Aliases

arxiv: 2605.20426 · arxiv_version: 2605.20426v1 · doi: 10.48550/arxiv.2605.20426 · pith_short_12: WJNIFAODCE7S · pith_short_16: WJNIFAODCE7S7BCT · pith_short_8: WJNIFAOD

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/WJNIFAODCE7S7BCTMTLR3XDPNW \
  | 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: b25a8281c3113f2f845364d71ddc6f6d8947cc3f12aa8de95822a04dc14e8e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f88569dd8832fcf0ae83adefdd503c8f9da3513751060c9f3963978acbb4482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-19T19:22:21Z",
    "title_canon_sha256": "431c83f41375da3deabc68e372410c741a14b50c7b50f0c20e673061e7dfc6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20426",
    "kind": "arxiv",
    "version": 1
  }
}