Pith Number

pith:K3RWVVPH

pith:2026:K3RWVVPH55VE5ONT3D4EAGULQW

not attested not anchored not stored refs pending

Global well-posedness of the Boltzmann equation via bilinear estimates

Anne Niesdroy

arxiv:2607.10143 v1 · 2026-07-11 · 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{K3RWVVPH55VE5ONT3D4EAGULQW}

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	2026-07-14T01:20:27.472880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56e36ad5e7ef6a4eb9b3d8f8401a8b858dfd9d32adf1b87e21e53d819346d0de

Aliases

arxiv: 2607.10143 · arxiv_version: 2607.10143v1 · doi: 10.48550/arxiv.2607.10143 · pith_short_12: K3RWVVPH55VE · pith_short_16: K3RWVVPH55VE5ONT · pith_short_8: K3RWVVPH

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/K3RWVVPH55VE5ONT3D4EAGULQW \
  | 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: 56e36ad5e7ef6a4eb9b3d8f8401a8b858dfd9d32adf1b87e21e53d819346d0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7db479da36c43f960c0e5f208f0fd8ac14eac4e265acfb371eda9b19ef6328f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-11T06:03:14Z",
    "title_canon_sha256": "b2bb5117d724f38c742c3ca576f2625f7e1d84b12865c111b2233461221161f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10143",
    "kind": "arxiv",
    "version": 1
  }
}