Pith Number

pith:RLDUAV4H

pith:2019:RLDUAV4HJO3QCMPA7MKHMH2AZM

not attested not anchored not stored refs pending

On the edge-vertex ratio of maximal thrackles

Birgit Vogtenhuber, Boris Klemz, Felix Schr\"oder, Linda Kleist, Oswin Aichholzer

arxiv:1908.08857 v2 · 2019-08-23 · cs.DM · cs.CG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLDUAV4HJO3QCMPA7MKHMH2AZM}

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	2026-07-05T00:05:14.309152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ac74057874bb70131e0fb14761f40cb2c01121bcc2a49842f37a7d1af7340df

Aliases

arxiv: 1908.08857 · arxiv_version: 1908.08857v2 · doi: 10.48550/arxiv.1908.08857 · pith_short_12: RLDUAV4HJO3Q · pith_short_16: RLDUAV4HJO3QCMPA · pith_short_8: RLDUAV4H

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/RLDUAV4HJO3QCMPA7MKHMH2AZM \
  | 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: 8ac74057874bb70131e0fb14761f40cb2c01121bcc2a49842f37a7d1af7340df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf869289caf47253af81933a584bf99e979c0296a8c582f9fd2b92014b1e3bf",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-08-23T15:02:10Z",
    "title_canon_sha256": "f7762657d2fb8af2c5cd8e5fbdedc5c324738e462526ed01ef173630501b2705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08857",
    "kind": "arxiv",
    "version": 2
  }
}