Pith Number

pith:65Z3M7LM

pith:2012:65Z3M7LMETFBEOUECLSXES4DHV

not attested not anchored not stored refs pending

An obstruction to $\ell^p$-dimension

Henrik Densing Petersen, Nicolas Monod

arxiv:1207.1199 v2 · 2012-07-05 · math.GR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65Z3M7LMETFBEOUECLSXES4DHV}

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	2026-05-18T03:51:12.527022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f773b67d6c24ca123a8412e5724b833d7e19caff0e85a6d2a4b900b36c0126eb

Aliases

arxiv: 1207.1199 · arxiv_version: 1207.1199v2 · doi: 10.48550/arxiv.1207.1199 · pith_short_12: 65Z3M7LMETFB · pith_short_16: 65Z3M7LMETFBEOUE · pith_short_8: 65Z3M7LM

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/65Z3M7LMETFBEOUECLSXES4DHV \
  | 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: f773b67d6c24ca123a8412e5724b833d7e19caff0e85a6d2a4b900b36c0126eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a3513f818aca0796ca1ecc92bf282d9e1493dab96c911e45d4bcca08f8cd18",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-07-05T09:17:47Z",
    "title_canon_sha256": "a07734ca4f5aa56e4a636bd5e15183d382eb6cfd26af964f7ceb2436d6c9a63b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1199",
    "kind": "arxiv",
    "version": 2
  }
}