Pith Number

pith:KTIX75QA

pith:2025:KTIX75QAD5WJUUJ5Q7MNJ6JWBC

not attested not anchored not stored refs pending

A directed Andr\'asfai-Erd\H{o}s-S\'os theorem and chromatic profiles of oriented cycles

Yisai Xue

arxiv:2509.07760 v1 · 2025-09-09 · 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{KTIX75QAD5WJUUJ5Q7MNJ6JWBC}

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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

2 papers in Pith

On the chromatic profile for tripartite graphs and beyond

Receipt and verification

First computed	2026-07-05T12:07:27.633692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d17ff6001f6c9a513d87d8d4f93608a9a23c220a18490a757be29703c69c4e

Aliases

arxiv: 2509.07760 · arxiv_version: 2509.07760v1 · doi: 10.48550/arxiv.2509.07760 · pith_short_12: KTIX75QAD5WJ · pith_short_16: KTIX75QAD5WJUUJ5 · pith_short_8: KTIX75QA

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/KTIX75QAD5WJUUJ5Q7MNJ6JWBC \
  | 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: 54d17ff6001f6c9a513d87d8d4f93608a9a23c220a18490a757be29703c69c4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d70822a42f9b2d035bc742930fe47a0ad9922a48e4d92a86301494c883d5cf9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-09T13:58:07Z",
    "title_canon_sha256": "45eef8e539d5114d01c796e6de2ee3a66d89681427fa800c7eae615c85daeade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07760",
    "kind": "arxiv",
    "version": 1
  }
}