Pith Number

pith:NLAB6DR3

pith:2019:NLAB6DR3SA27SNOINI77LY67EE

not attested not anchored not stored refs pending

Vertex Ramsey properties of randomly perturbed graphs

Andrew Treglown, Patrick Morris, Shagnik Das

arxiv:1910.00136 v2 · 2019-09-30 · 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{NLAB6DR3SA27SNOINI77LY67EE}

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	2026-06-23T03:14:26.580423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac01f0e3b9035f935c86a3ff5e3df211ddaa36b9c170d25c63c070a3d20930f

Aliases

arxiv: 1910.00136 · arxiv_version: 1910.00136v2 · doi: 10.48550/arxiv.1910.00136 · pith_short_12: NLAB6DR3SA27 · pith_short_16: NLAB6DR3SA27SNOI · pith_short_8: NLAB6DR3

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/NLAB6DR3SA27SNOINI77LY67EE \
  | 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: 6ac01f0e3b9035f935c86a3ff5e3df211ddaa36b9c170d25c63c070a3d20930f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb64293689d3423fdf9602abe05cd4aa5c0a6926524543a81f054c133b36572",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-30T22:20:42Z",
    "title_canon_sha256": "8e2cfc6ad492a9fd454ee2c178e3dd5a2dbcca3024a10495944d3af6336da478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.00136",
    "kind": "arxiv",
    "version": 2
  }
}