Pith Number

pith:36RK4XBJ

pith:2019:36RK4XBJTGJ3UEDTVTMIRZL5CF

not attested not anchored not stored refs pending

Gallai-Ramsey number of even cycles with chords

Fangfang Zhang, Yaojun Chen, Zi-Xia Song

arxiv:1906.05263 v3 · 2019-06-12 · 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{36RK4XBJTGJ3UEDTVTMIRZL5CF}

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	2026-07-05T01:36:06.652153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfa2ae5c299993ba1073acd888e57d116617763e685df5e9153ccbff61a02323

Aliases

arxiv: 1906.05263 · arxiv_version: 1906.05263v3 · doi: 10.48550/arxiv.1906.05263 · pith_short_12: 36RK4XBJTGJ3 · pith_short_16: 36RK4XBJTGJ3UEDT · pith_short_8: 36RK4XBJ

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/36RK4XBJTGJ3UEDTVTMIRZL5CF \
  | 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: dfa2ae5c299993ba1073acd888e57d116617763e685df5e9153ccbff61a02323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ddd863a1415c9c24e84b634703d7e987ed82b106bb175785a3c7a0c13d3f51c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-12T17:44:23Z",
    "title_canon_sha256": "57605d863d72dbd4ca90dfe78d7a8fd1304d3b9d4392c72969ff374e2709e344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05263",
    "kind": "arxiv",
    "version": 3
  }
}