Pith Number

pith:MPVQWBXS

pith:2011:MPVQWBXSQONUCL6SD2X6P7BBZT

not attested not anchored not stored refs pending

On asymptotic extension dimension

Du\v{s}an Repov\v{s}, Mykhailo Zarichnyi

arxiv:1105.5724 v1 · 2011-05-28 · math.GT · math.GN · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPVQWBXSQONUCL6SD2X6P7BBZT}

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	2026-05-18T04:21:01.708703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63eb0b06f2839b412fd21eafe7fc21ccddae98957587e3ec42f76130c693fc7e

Aliases

arxiv: 1105.5724 · arxiv_version: 1105.5724v1 · doi: 10.48550/arxiv.1105.5724 · pith_short_12: MPVQWBXSQONU · pith_short_16: MPVQWBXSQONUCL6S · pith_short_8: MPVQWBXS

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/MPVQWBXSQONUCL6SD2X6P7BBZT \
  | 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: 63eb0b06f2839b412fd21eafe7fc21ccddae98957587e3ec42f76130c693fc7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c37e13faa968d0e7a83aeaf70f8cce296c567c43ff7bdcd710c5b498210db6e2",
    "cross_cats_sorted": [
      "math.GN",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-28T16:09:49Z",
    "title_canon_sha256": "15b881999ee163c7c1d0b593577ebee3c8dc9faa7881d19d8b3f20e971978042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5724",
    "kind": "arxiv",
    "version": 1
  }
}