Pith Number

pith:LS5BORKY

pith:2020:LS5BORKYZBM5HJTEOEXQOFVGPF

not attested not anchored not stored refs pending

Note on rainbow cycles in edge-colored graphs

Xiaozheng Chen, Xueliang Li

arxiv:2010.10767 v2 · 2020-10-21 · 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{LS5BORKYZBM5HJTEOEXQOFVGPF}

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	2026-07-05T01:45:07.270376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cba174558c859d3a664712f0716a67974a18d20ae530df76a9455814d6a1bc6

Aliases

arxiv: 2010.10767 · arxiv_version: 2010.10767v2 · doi: 10.48550/arxiv.2010.10767 · pith_short_12: LS5BORKYZBM5 · pith_short_16: LS5BORKYZBM5HJTE · pith_short_8: LS5BORKY

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/LS5BORKYZBM5HJTEOEXQOFVGPF \
  | 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: 5cba174558c859d3a664712f0716a67974a18d20ae530df76a9455814d6a1bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f37d1c8f683466070d03db68c6578c95547d148f1e7dd301157d2f9daeff71d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-21T05:25:30Z",
    "title_canon_sha256": "25cea26c4bb0c5db2d182df13204169be088521220ee830154eb1fae1c65fe31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.10767",
    "kind": "arxiv",
    "version": 2
  }
}