Pith Number

pith:INNWCZTI

pith:2015:INNWCZTIPLQBBATQ7YUY764EPY

not attested not anchored not stored refs pending

Mean dimension of $\mathbb{Z}^k$-actions

Elon Lindenstrauss, Masaki Tsukamoto, Yonatan Gutman

arxiv:1510.01605 v1 · 2015-10-06 · 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{INNWCZTIPLQBBATQ7YUY764EPY}

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	2026-05-18T01:30:56.474198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

435b6166687ae0108270fe298ffb847e07dffa53e035c4a7553d74a77cbc974e

Aliases

arxiv: 1510.01605 · arxiv_version: 1510.01605v1 · doi: 10.48550/arxiv.1510.01605 · pith_short_12: INNWCZTIPLQB · pith_short_16: INNWCZTIPLQBBATQ · pith_short_8: INNWCZTI

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/INNWCZTIPLQBBATQ7YUY764EPY \
  | 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: 435b6166687ae0108270fe298ffb847e07dffa53e035c4a7553d74a77cbc974e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3766ff29b65dcd87f54a927849e7163c619c1e343a90d40db294770bab116c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-06T14:52:03Z",
    "title_canon_sha256": "787430cb67907095bbdfbc29ec6b7754ce60a8e06567636c0c8012470c855ffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01605",
    "kind": "arxiv",
    "version": 1
  }
}