Pith Number

pith:P7ZC5YEZ

pith:2023:P7ZC5YEZGJFS5M732XTV7FWNVK

not attested not anchored not stored refs pending

Essentially tight bounds for rainbow cycles in proper edge-colourings

Dmitrii Zakharov, Lisa Sauermann, Matija Buci\'c, Noga Alon, Or Zamir

arxiv:2309.04460 v2 · 2023-09-08 · math.CO · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7ZC5YEZGJFS5M732XTV7FWNVK}

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.

Cited by

1 paper in Pith

On the clique number of random Cayley graphs and related topics

Receipt and verification

First computed	2026-07-05T10:20:09.793684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ff22ee099324b2eb3fbd5e75f96cdaa80054cc9e4ab2f9f9898b4b63c000a70

Aliases

arxiv: 2309.04460 · arxiv_version: 2309.04460v2 · doi: 10.48550/arxiv.2309.04460 · pith_short_12: P7ZC5YEZGJFS · pith_short_16: P7ZC5YEZGJFS5M73 · pith_short_8: P7ZC5YEZ

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/P7ZC5YEZGJFS5M732XTV7FWNVK \
  | 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: 7ff22ee099324b2eb3fbd5e75f96cdaa80054cc9e4ab2f9f9898b4b63c000a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5329773c2846f783613689c5d01196da894811f9018cb2b91bddf24b00a4883c",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-08T17:42:11Z",
    "title_canon_sha256": "f389885c35913ee7edeea2fc9ef46b6d40c41971b3e8706806dea0d87433b4ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.04460",
    "kind": "arxiv",
    "version": 2
  }
}