Pith Number

pith:IAAKDYDO

pith:2018:IAAKDYDOZK6E6DPUFMDCOPTDYB

not attested not anchored not stored refs pending

Two conjectures in Ramsey-Tur\'an theory

Hong Liu, Jaehoon Kim, Younjin Kim

arxiv:1803.04721 v1 · 2018-03-13 · 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{IAAKDYDOZK6E6DPUFMDCOPTDYB}

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	2026-05-18T00:21:18.031865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4000a1e06ecabc4f0df42b06273e63c0735da4ea1ab8137c428b9ba7bf7acd43

Aliases

arxiv: 1803.04721 · arxiv_version: 1803.04721v1 · doi: 10.48550/arxiv.1803.04721 · pith_short_12: IAAKDYDOZK6E · pith_short_16: IAAKDYDOZK6E6DPU · pith_short_8: IAAKDYDO

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/IAAKDYDOZK6E6DPUFMDCOPTDYB \
  | 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: 4000a1e06ecabc4f0df42b06273e63c0735da4ea1ab8137c428b9ba7bf7acd43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c30148098e789ea12877c6b032b8092d077a784ac619d316c46a6e22ffcebbdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-13T10:45:20Z",
    "title_canon_sha256": "3cf3bdb57644c2d97b568cd90a1c197a48f1f6f34c058e7c9fe0b47f75fda650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04721",
    "kind": "arxiv",
    "version": 1
  }
}