Pith Number

pith:3UZ4YSCN

pith:2018:3UZ4YSCN5B4ZPCU2XONRR7NLI4

not attested not anchored not stored refs pending

Contact forms with large systolic ratio in arbitrary dimensions

Murat Sa\u{g}lam

arxiv:1806.01967 v1 · 2018-06-06 · math.SG · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UZ4YSCN5B4ZPCU2XONRR7NLI4}

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	2026-05-18T00:14:03.241352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd33cc484de879978a9abb9b18fdab472cabad44460854c39d196b00898cd6e8

Aliases

arxiv: 1806.01967 · arxiv_version: 1806.01967v1 · doi: 10.48550/arxiv.1806.01967 · pith_short_12: 3UZ4YSCN5B4Z · pith_short_16: 3UZ4YSCN5B4ZPCU2 · pith_short_8: 3UZ4YSCN

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/3UZ4YSCN5B4ZPCU2XONRR7NLI4 \
  | 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: dd33cc484de879978a9abb9b18fdab472cabad44460854c39d196b00898cd6e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0369024a9f26e66888e5d1bcce26f5fad999317bdf72a3084b9794b0d86d4d",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-06-06T00:13:41Z",
    "title_canon_sha256": "1d679fdf83b6b8f0582bec62ce7fda1b6283bc91d031727c26a713c19c1e7eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01967",
    "kind": "arxiv",
    "version": 1
  }
}