Pith Number

pith:YVGYMVAI

pith:2016:YVGYMVAIXGMP644BCXRKWPWTE6

not attested not anchored not stored refs pending

A solution of Gromov's H\"older equivalence problem for the Heisenberg group

Roger Z\"ust

arxiv:1601.00956 v2 · 2016-01-05 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVGYMVAIXGMP644BCXRKWPWTE6}

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	2026-05-18T01:19:15.752714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c54d865408b998ff738115e2ab3ed327b7732f929786381d574b1ad38e255ed0

Aliases

arxiv: 1601.00956 · arxiv_version: 1601.00956v2 · doi: 10.48550/arxiv.1601.00956 · pith_short_12: YVGYMVAIXGMP · pith_short_16: YVGYMVAIXGMP644B · pith_short_8: YVGYMVAI

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/YVGYMVAIXGMP644BCXRKWPWTE6 \
  | 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: c54d865408b998ff738115e2ab3ed327b7732f929786381d574b1ad38e255ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca2b714ee2fb0aae7bdb5a4ea2a851869b2a89fd875590262435549676ba4f3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-01-05T20:42:51Z",
    "title_canon_sha256": "d478bb51aac42d1de204fb3ec56a730bc59c9a5eceb94cfe0f59f1ecd4857087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00956",
    "kind": "arxiv",
    "version": 2
  }
}