Pith Number

pith:37SRE3NO

pith:2021:37SRE3NO73JQ6K3VBPTOY37GYW

not attested not anchored not stored refs pending

A Ramsey-Tur\'an theory for tilings in graphs

Donglei Yang, Guanghui Wang, Jie Han, Patrick Morris

arxiv:2106.09688 v2 · 2021-06-17 · 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{37SRE3NO73JQ6K3VBPTOY37GYW}

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	2026-06-23T03:13:42.120559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfe5126daefed30f2b750be6ec6fe6c5b836011ce2ae230840bb9e209a2a1fd8

Aliases

arxiv: 2106.09688 · arxiv_version: 2106.09688v2 · doi: 10.48550/arxiv.2106.09688 · pith_short_12: 37SRE3NO73JQ · pith_short_16: 37SRE3NO73JQ6K3V · pith_short_8: 37SRE3NO

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/37SRE3NO73JQ6K3VBPTOY37GYW \
  | 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: dfe5126daefed30f2b750be6ec6fe6c5b836011ce2ae230840bb9e209a2a1fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7be22713da37752f269cfd99623c69a7311e84b90d883a1c8746c3a3fc6ea7a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-17T17:40:31Z",
    "title_canon_sha256": "138d9a729e9242dfd2cc2aa6ddbe3c60ea8bfb46fa784c8eb5261ee0c5c98197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.09688",
    "kind": "arxiv",
    "version": 2
  }
}