Pith Number

pith:662FT7BW

pith:2015:662FT7BWNMJ7VEZR3PSJ43QQGG

not attested not anchored not stored refs pending

Monochromatic tree covers and Ramsey numbers for set-coloured graphs

Maya Stein, Sebasti\'an Bustamante

arxiv:1510.05190 v4 · 2015-10-18 · 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{662FT7BWNMJ7VEZR3PSJ43QQGG}

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	2026-05-18T00:14:48.298241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7b459fc366b13fa9331dbe49e6e1031997520473de4e6a3f163d12212e1c846

Aliases

arxiv: 1510.05190 · arxiv_version: 1510.05190v4 · doi: 10.48550/arxiv.1510.05190 · pith_short_12: 662FT7BWNMJ7 · pith_short_16: 662FT7BWNMJ7VEZR · pith_short_8: 662FT7BW

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/662FT7BWNMJ7VEZR3PSJ43QQGG \
  | 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: f7b459fc366b13fa9331dbe49e6e1031997520473de4e6a3f163d12212e1c846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8b42119e0c4359b1fd1c59bee1e3953821478d7cd01328c8ef963adf8e15dd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-18T02:15:14Z",
    "title_canon_sha256": "c0c0a941b0f11d79bbb155b8566c2cd77fd6f08eb50b207aeac7fdc21acd5045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05190",
    "kind": "arxiv",
    "version": 4
  }
}