Pith Number

pith:X5QKCGTV

pith:2018:X5QKCGTVQPELYJ2ZYL4EAZBW6E

not attested not anchored not stored refs pending

Decompositions into spanning rainbow structures

Alexey Pokrovskiy, Benny Sudakov, Richard Montgomery

arxiv:1805.07564 v3 · 2018-05-19 · 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{X5QKCGTVQPELYJ2ZYL4EAZBW6E}

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	2026-05-17T23:48:01.756534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf60a11a7583c8bc2759c2f8406436f1162fbb0e617405aef9cb085e15637d0b

Aliases

arxiv: 1805.07564 · arxiv_version: 1805.07564v3 · doi: 10.48550/arxiv.1805.07564 · pith_short_12: X5QKCGTVQPEL · pith_short_16: X5QKCGTVQPELYJ2Z · pith_short_8: X5QKCGTV

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/X5QKCGTVQPELYJ2ZYL4EAZBW6E \
  | 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: bf60a11a7583c8bc2759c2f8406436f1162fbb0e617405aef9cb085e15637d0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e8456b2dbeb8c831f366ca7ae86def72a49e8fbcc63fdf6b6ac19895033a98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-19T10:08:36Z",
    "title_canon_sha256": "ff2819211a0b151f29743d6ad4ac2d2fb13248e7c11a8731fa29bc1dbd44aae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07564",
    "kind": "arxiv",
    "version": 3
  }
}