Pith Number

pith:AQUY5ZKQ

pith:2018:AQUY5ZKQAZL6YLLGZ2X3BKEMPX

not attested not anchored not stored refs pending

Improved Upper Bounds for Gallai-Ramsey Numbers of Odd Cycles

Christian Bosse, Jingmei Zhang, Zi-Xia Song

arxiv:1808.09963 v1 · 2018-08-29 · 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{AQUY5ZKQAZL6YLLGZ2X3BKEMPX}

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	2026-05-18T00:06:50.287207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04298ee5500657ec2d66ceafb0a88c7dd20d0672924652d844744178b59b2dc7

Aliases

arxiv: 1808.09963 · arxiv_version: 1808.09963v1 · doi: 10.48550/arxiv.1808.09963 · pith_short_12: AQUY5ZKQAZL6 · pith_short_16: AQUY5ZKQAZL6YLLG · pith_short_8: AQUY5ZKQ

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/AQUY5ZKQAZL6YLLGZ2X3BKEMPX \
  | 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: 04298ee5500657ec2d66ceafb0a88c7dd20d0672924652d844744178b59b2dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "182540f83927e2cb4cd36cbc6e2d2a8fa8cf4c133cf437591bd247d080eaac73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-29T22:41:16Z",
    "title_canon_sha256": "8f722131f83858270127d30c1352ee4d3764a9f15af5c4f72e04c7707a6427fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09963",
    "kind": "arxiv",
    "version": 1
  }
}