Pith Number

pith:MKZI7N6J

pith:2017:MKZI7N6JKPKHFQUUELQTFJETEJ

not attested not anchored not stored refs pending

Spaces with almost Euclidean Dehn function

Stefan Wenger

arxiv:1707.01398 v2 · 2017-07-05 · math.DG · math.GR · 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{MKZI7N6JKPKHFQUUELQTFJETEJ}

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	2026-05-18T00:01:19.784211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62b28fb7c953d472c29422e132a49322787d7849a686c2622a85a3bc73c0d58f

Aliases

arxiv: 1707.01398 · arxiv_version: 1707.01398v2 · doi: 10.48550/arxiv.1707.01398 · pith_short_12: MKZI7N6JKPKH · pith_short_16: MKZI7N6JKPKHFQUU · pith_short_8: MKZI7N6J

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/MKZI7N6JKPKHFQUUELQTFJETEJ \
  | 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: 62b28fb7c953d472c29422e132a49322787d7849a686c2622a85a3bc73c0d58f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ad9dc2ad8c979ffe48243da757444f6fd59dd11b495e5e32991556d3229566e",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-05T13:58:54Z",
    "title_canon_sha256": "64b43a1cfea0a609956b369bfb95c6853a3b2527f92dfd4c1b01c74d2295b10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01398",
    "kind": "arxiv",
    "version": 2
  }
}