Pith Number

pith:RKS3HJUS

pith:2026:RKS3HJUSNC3CUPMPGBCLT4GB53

not attested not anchored not stored refs pending

Homogeneous Boltzmann-type equations on dense graphs

Andrea Tosin, Gabriele Taricco

arxiv:2606.17638 v1 · 2026-06-16 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKS3HJUSNC3CUPMPGBCLT4GB53}

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	2026-06-19T16:10:17.881352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aa5b3a69268b62a3d8f3044b9f0c1eed08bb0c90583c70518fc3e2a2d63675b

Aliases

arxiv: 2606.17638 · arxiv_version: 2606.17638v1 · doi: 10.48550/arxiv.2606.17638 · pith_short_12: RKS3HJUSNC3C · pith_short_16: RKS3HJUSNC3CUPMP · pith_short_8: RKS3HJUS

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/RKS3HJUSNC3CUPMPGBCLT4GB53 \
  | 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: 8aa5b3a69268b62a3d8f3044b9f0c1eed08bb0c90583c70518fc3e2a2d63675b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6b9d7faed6ed3eda96418ee8544a0593c5de5465898e7e236a9a9f207500b3",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-16T07:54:41Z",
    "title_canon_sha256": "2bb55f1e5d28f1149a5cae7eda600580089dc9d5aff8c7ab38dd32f7b53af0c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17638",
    "kind": "arxiv",
    "version": 1
  }
}