Pith Number

pith:M5UMOOW2

pith:2017:M5UMOOW2NT62VRZFMRAWASUDUP

not attested not anchored not stored refs pending

Mappings of finite distortion: compactness of the branch set

Aapo Kauranen, Rami Luisto, Ville Tengvall

arxiv:1709.08724 v3 · 2017-09-25 · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5UMOOW2NT62VRZFMRAWASUDUP}

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	2026-05-18T00:12:24.879248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6768c73ada6cfdaac7256441604a83a3e49cd9efab2a37753eeb9c1929442930

Aliases

arxiv: 1709.08724 · arxiv_version: 1709.08724v3 · doi: 10.48550/arxiv.1709.08724 · pith_short_12: M5UMOOW2NT62 · pith_short_16: M5UMOOW2NT62VRZF · pith_short_8: M5UMOOW2

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/M5UMOOW2NT62VRZFMRAWASUDUP \
  | 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: 6768c73ada6cfdaac7256441604a83a3e49cd9efab2a37753eeb9c1929442930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cf4c5b357e69fd89111dcde89f8a24e83e2303c57c136d696af9428e43d1ed7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-09-25T20:56:14Z",
    "title_canon_sha256": "2146e08fd15f9d20963090890df8a112c16465a8c0c2612fd5cee2711a9e3ec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08724",
    "kind": "arxiv",
    "version": 3
  }
}