Pith Number

pith:KX46RCHF

pith:2017:KX46RCHFA2UC3XOR7J7IZUTTJE

not attested not anchored not stored refs pending

Linearly many rainbow trees in properly edge-coloured complete graphs

Alexey Pokrovskiy, Benny Sudakov

arxiv:1703.07301 v3 · 2017-03-21 · 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{KX46RCHFA2UC3XOR7J7IZUTTJE}

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	2026-05-18T00:20:44.732685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f9e888e506a82dddd1fa7e8cd273492c11b37d140d26594c64369d551846d5

Aliases

arxiv: 1703.07301 · arxiv_version: 1703.07301v3 · doi: 10.48550/arxiv.1703.07301 · pith_short_12: KX46RCHFA2UC · pith_short_16: KX46RCHFA2UC3XOR · pith_short_8: KX46RCHF

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/KX46RCHFA2UC3XOR7J7IZUTTJE \
  | 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: 55f9e888e506a82dddd1fa7e8cd273492c11b37d140d26594c64369d551846d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f2ac676ffb310855dcec917375ea1c1cc556175fc046283400c6b2e2e8f5f99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-21T16:34:41Z",
    "title_canon_sha256": "3b147f415f41cfbd4a53874d2e8c68a7beb38755123eea644eb46224e4d8c3bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07301",
    "kind": "arxiv",
    "version": 3
  }
}