Pith Number

pith:LOOB65TU

pith:2016:LOOB65TUYF5LU2M2CTFTSUFQN2

not attested not anchored not stored refs pending

Ramsey goodness of bounded degree trees

Alexey Pokrovskiy, Benny Sudakov, Igor Balla

arxiv:1611.02688 v1 · 2016-11-08 · 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{LOOB65TUYF5LU2M2CTFTSUFQN2}

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	2026-05-18T00:59:51.192451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b9c1f7674c17aba699a14cb3950b06eb62399f17a1d734614578db202bf748c

Aliases

arxiv: 1611.02688 · arxiv_version: 1611.02688v1 · doi: 10.48550/arxiv.1611.02688 · pith_short_12: LOOB65TUYF5L · pith_short_16: LOOB65TUYF5LU2M2 · pith_short_8: LOOB65TU

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/LOOB65TUYF5LU2M2CTFTSUFQN2 \
  | 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: 5b9c1f7674c17aba699a14cb3950b06eb62399f17a1d734614578db202bf748c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a4f5b7bf85de90ef36f0aaf307cbc8fce4f29b96cff65c9ed5d400d83307757",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-08T20:53:38Z",
    "title_canon_sha256": "28cb3debbd8e7f0c9002292a8a5a93967ccd8596e309c8dcc5d16f934188720e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02688",
    "kind": "arxiv",
    "version": 1
  }
}