Pith Number

pith:APW3F3O5

pith:2026:APW3F3O5BLPQKTK22UGVJEURQP

not attested not anchored not stored refs pending

The list r-hued coloring of trees and unicyclic graphs

Fengxia Liu, Yu Miao

arxiv:2605.27111 v1 · 2026-05-26 · 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{APW3F3O5BLPQKTK22UGVJEURQP}

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	2026-05-27T02:05:42.513919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03edb2eddd0adf054d5ad50d54929183da35e088d6b54636fd57df7a8f0ea8b5

Aliases

arxiv: 2605.27111 · arxiv_version: 2605.27111v1 · doi: 10.48550/arxiv.2605.27111 · pith_short_12: APW3F3O5BLPQ · pith_short_16: APW3F3O5BLPQKTK2 · pith_short_8: APW3F3O5

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/APW3F3O5BLPQKTK22UGVJEURQP \
  | 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: 03edb2eddd0adf054d5ad50d54929183da35e088d6b54636fd57df7a8f0ea8b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e94b66f8aabbe14a70e251113763df01ca397cb5f07a4602a3fe94153c91e8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-26T14:51:13Z",
    "title_canon_sha256": "9c3946e70cabe427d1ce007052d496ee85b6ac3e346c0069703b64c8a5e91802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27111",
    "kind": "arxiv",
    "version": 1
  }
}