Pith Number

pith:XHXJ6WC2

pith:2017:XHXJ6WC2TY4BE5FJA54NPZNBOK

not attested not anchored not stored refs pending

On repetition thresholds of caterpillars and trees of bounded degree

Alexandre Pinlou, Borut Lu\v{z}ar, Pascal Ochem

arxiv:1702.01058 v1 · 2017-02-03 · cs.DM · 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{XHXJ6WC2TY4BE5FJA54NPZNBOK}

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	2026-05-18T00:12:11.481854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ee9f585a9e381274a90778d7e5a1729cfc4d5881cc5554a08a7b107fff814e

Aliases

arxiv: 1702.01058 · arxiv_version: 1702.01058v1 · doi: 10.48550/arxiv.1702.01058 · pith_short_12: XHXJ6WC2TY4B · pith_short_16: XHXJ6WC2TY4BE5FJ · pith_short_8: XHXJ6WC2

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/XHXJ6WC2TY4BE5FJA54NPZNBOK \
  | 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: b9ee9f585a9e381274a90778d7e5a1729cfc4d5881cc5554a08a7b107fff814e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aacb106cf19eb5005a679b12c89dc8abbbf14c30ca25e8519e63da129da8250",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-02-03T15:42:52Z",
    "title_canon_sha256": "31bc0a2839deacd30da6d08df207ef9eb9dc808d321f91d2216f1cede148e9c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01058",
    "kind": "arxiv",
    "version": 1
  }
}