Pith Number

pith:NZNYH4EC

pith:2026:NZNYH4ECMMOYFH7GOLYGGOAX7T

not attested not anchored not stored refs pending

Dimension lower bounds in random geometry via Lipschitz functions

Brin Harper, Ewain Gwynne, Manan Bhatia

arxiv:2606.10496 v1 · 2026-06-09 · math.PR · math-ph · 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{NZNYH4ECMMOYFH7GOLYGGOAX7T}

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	2026-06-10T01:10:22.451772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e5b83f082631d829fe672f0633817fcf3ae60773956f20ecffd8f2c2c24e997

Aliases

arxiv: 2606.10496 · arxiv_version: 2606.10496v1 · doi: 10.48550/arxiv.2606.10496 · pith_short_12: NZNYH4ECMMOY · pith_short_16: NZNYH4ECMMOYFH7G · pith_short_8: NZNYH4EC

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/NZNYH4ECMMOYFH7GOLYGGOAX7T \
  | 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: 6e5b83f082631d829fe672f0633817fcf3ae60773956f20ecffd8f2c2c24e997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f10b65ffe36bffb21cc46be019224365dc599e2d79d53eb2d7959fc0fc7302b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-09T07:21:54Z",
    "title_canon_sha256": "b77396297a399b918f3d20c41fc97bc253031f746cb3fb7066638f48014fee22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10496",
    "kind": "arxiv",
    "version": 1
  }
}