Pith Number

pith:TQIYH7AS

pith:2018:TQIYH7ASWLTTMPYPMNQYVGKYBP

not attested not anchored not stored refs pending

Gallai-Ramsey number of odd cycles with chords

Fangfang Zhang, Yaojun Chen, Zi-Xia Song

arxiv:1809.00227 v2 · 2018-09-01 · 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{TQIYH7ASWLTTMPYPMNQYVGKYBP}

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	2026-07-05T01:35:42.811671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c1183fc12b2e7363f0f63618a99580bc76c48b5ebbd7bb7a0a7d040bd8accd1

Aliases

arxiv: 1809.00227 · arxiv_version: 1809.00227v2 · doi: 10.48550/arxiv.1809.00227 · pith_short_12: TQIYH7ASWLTT · pith_short_16: TQIYH7ASWLTTMPYP · pith_short_8: TQIYH7AS

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/TQIYH7ASWLTTMPYPMNQYVGKYBP \
  | 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: 9c1183fc12b2e7363f0f63618a99580bc76c48b5ebbd7bb7a0a7d040bd8accd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53cb8699c316a63dfd8ab67e7588bf9f7aa90890d792df9e9e6fa4bf1e5645e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-01T17:42:35Z",
    "title_canon_sha256": "6cbcdc73badb77e6490da9e331b90b6015e7411254097a6f6222f0ded2ec3115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00227",
    "kind": "arxiv",
    "version": 2
  }
}