Pith Number

pith:4XT2UOWU

pith:2018:4XT2UOWU24J4S5BPLZUQ4KHWNP

not attested not anchored not stored refs pending

A rainbow blow-up lemma

Felix Joos, Stefan Glock

arxiv:1802.07700 v2 · 2018-02-21 · 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{4XT2UOWU24J4S5BPLZUQ4KHWNP}

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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.

Cited by

1 paper in Pith

A rainbow blow-up lemma for almost optimally bounded edge-colourings

Receipt and verification

First computed	2026-05-18T00:13:50.748074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e7aa3ad4d713c9742f5e690e28f66be9ebaa7c10758db3eb123a34fa99f8e6

Aliases

arxiv: 1802.07700 · arxiv_version: 1802.07700v2 · doi: 10.48550/arxiv.1802.07700 · pith_short_12: 4XT2UOWU24J4 · pith_short_16: 4XT2UOWU24J4S5BP · pith_short_8: 4XT2UOWU

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/4XT2UOWU24J4S5BPLZUQ4KHWNP \
  | 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: e5e7aa3ad4d713c9742f5e690e28f66be9ebaa7c10758db3eb123a34fa99f8e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a7f3a5393f54f6351e14f1e2d240fc7ebe7b24b24d98d8498a99512a471828e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-21T17:57:50Z",
    "title_canon_sha256": "d43055d330dfa858fb8949e68201912bac6773b0c3cfc62e837aed3bcb9b4a4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07700",
    "kind": "arxiv",
    "version": 2
  }
}