Pith Number

pith:5J4EQ67O

pith:2026:5J4EQ67OFDS6M42QRVOBT3U2JQ

not attested not anchored not stored refs pending

Uniformly Positive Mean Dimension

Elon Lindenstrauss, Tal Barak

arxiv:2607.01501 v1 · 2026-07-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5J4EQ67OFDS6M42QRVOBT3U2JQ}

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	2026-07-03T00:17:02.487786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea78487bee28e5e673508d5c19ee9a4c0426a8199c002fe0811c675f26236e09

Aliases

arxiv: 2607.01501 · arxiv_version: 2607.01501v1 · doi: 10.48550/arxiv.2607.01501 · pith_short_12: 5J4EQ67OFDS6 · pith_short_16: 5J4EQ67OFDS6M42Q · pith_short_8: 5J4EQ67O

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/5J4EQ67OFDS6M42QRVOBT3U2JQ \
  | 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: ea78487bee28e5e673508d5c19ee9a4c0426a8199c002fe0811c675f26236e09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44622ace68299697d70881e29797f020db88c2d91833ba5c196dcb2c057e718c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-01T22:00:40Z",
    "title_canon_sha256": "79438c494cab90f8d9a2f9c8c53d07b64fffe5f5673665cb2a0608fcfafefa2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01501",
    "kind": "arxiv",
    "version": 1
  }
}