Pith Number

pith:DZZVYWZR

pith:2018:DZZVYWZRF6PJR2GJ6YMJEK6U5K

not attested not anchored not stored refs pending

$(g,f)$-Chromatic spanning trees and forests

Kazuhiro Suzuki

arxiv:1809.10355 v1 · 2018-09-27 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZZVYWZRF6PJR2GJ6YMJEK6U5K}

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	2026-05-17T23:48:45.549174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e735c5b312f9e98e8c9f618922bd4eab4f8e604b8a6ade6ea172fd727f7e32a

Aliases

arxiv: 1809.10355 · arxiv_version: 1809.10355v1 · doi: 10.48550/arxiv.1809.10355 · pith_short_12: DZZVYWZRF6PJ · pith_short_16: DZZVYWZRF6PJR2GJ · pith_short_8: DZZVYWZR

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/DZZVYWZRF6PJR2GJ6YMJEK6U5K \
  | 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: 1e735c5b312f9e98e8c9f618922bd4eab4f8e604b8a6ade6ea172fd727f7e32a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4e7f47559cf540a7beb5bb11077ce2a07ebc797609dcba0b0d758811f98d2f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-27T05:54:49Z",
    "title_canon_sha256": "fc8dccc58d1c336bcc5204f7b0a92269675a4712857fe7f62192307c56f7633d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10355",
    "kind": "arxiv",
    "version": 1
  }
}