Pith Number

pith:OBUYKAJ3

pith:2026:OBUYKAJ3SDO6YLCCPP4LQQ5HV6

not attested not anchored not stored refs pending

Random homomorphisms and Lipschitz functions on trees

Alon Heller, Yinon Spinka

arxiv:2606.29426 v1 · 2026-06-28 · math.PR · math-ph · math.CO · 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{OBUYKAJ3SDO6YLCCPP4LQQ5HV6}

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	2026-06-30T01:18:06.024734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

706985013b90ddec2c427bf8b843a7af9381e28d472fb011630fa186177a572c

Aliases

arxiv: 2606.29426 · arxiv_version: 2606.29426v1 · doi: 10.48550/arxiv.2606.29426 · pith_short_12: OBUYKAJ3SDO6 · pith_short_16: OBUYKAJ3SDO6YLCC · pith_short_8: OBUYKAJ3

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/OBUYKAJ3SDO6YLCCPP4LQQ5HV6 \
  | 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: 706985013b90ddec2c427bf8b843a7af9381e28d472fb011630fa186177a572c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f31107bc0f56916b1698423d5d51ee90545ee23d593bf294b08ecc6b8a6fdc4e",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-28T14:42:00Z",
    "title_canon_sha256": "c5f7d14a56acbafc85442db559e55558a48caee328d1bd51a41f881c8f7915f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29426",
    "kind": "arxiv",
    "version": 1
  }
}