Pith Number

pith:PGA3LSJR

pith:2013:PGA3LSJRE7ZVA6HELEACT4YBPH

not attested not anchored not stored refs pending

Grounded Lipschitz functions on trees are typically flat

Amir Yehudayoff, Ron Peled, Wojciech Samotij

arxiv:1305.3035 v1 · 2013-05-14 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGA3LSJRE7ZVA6HELEACT4YBPH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:25:45.052441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7981b5c93127f35078e4590029f30179c912a231418deb387990f87300d36b23

Aliases

arxiv: 1305.3035 · arxiv_version: 1305.3035v1 · doi: 10.48550/arxiv.1305.3035 · pith_short_12: PGA3LSJRE7ZV · pith_short_16: PGA3LSJRE7ZVA6HE · pith_short_8: PGA3LSJR

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/PGA3LSJRE7ZVA6HELEACT4YBPH \
  | 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: 7981b5c93127f35078e4590029f30179c912a231418deb387990f87300d36b23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd7bf85f1b5825a63344412228e3b73909cea9e6730972883c6bbca1309ba8f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-14T06:29:21Z",
    "title_canon_sha256": "630fb4fa45e994f6e7512cfe35785c756e76d425be4e2ace9dd65c8251f9206c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3035",
    "kind": "arxiv",
    "version": 1
  }
}