Pith Number

pith:VM6YVUPL

pith:2018:VM6YVUPLLPK2MNBVVK4BQ6WEB4

not attested not anchored not stored refs pending

Improved bounds on the multicolor Ramsey numbers of paths and even cycles

Charlotte Knierim, Pascal Su

arxiv:1801.04128 v1 · 2018-01-12 · 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{VM6YVUPLLPK2MNBVVK4BQ6WEB4}

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	2026-05-18T00:26:11.785068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab3d8ad1eb5bd5a63435aab8187ac40f28f8a76468802f60573e6a49d27a83fa

Aliases

arxiv: 1801.04128 · arxiv_version: 1801.04128v1 · doi: 10.48550/arxiv.1801.04128 · pith_short_12: VM6YVUPLLPK2 · pith_short_16: VM6YVUPLLPK2MNBV · pith_short_8: VM6YVUPL

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/VM6YVUPLLPK2MNBVVK4BQ6WEB4 \
  | 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: ab3d8ad1eb5bd5a63435aab8187ac40f28f8a76468802f60573e6a49d27a83fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95fc10eee0bfb2974533aabb3d0356c293cf35984ead511680982984150ed870",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-12T10:42:43Z",
    "title_canon_sha256": "b3af4a41459e9356e339db23289051a05908cc6007bd034d7ad9b02174865cdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04128",
    "kind": "arxiv",
    "version": 1
  }
}