Pith Number

pith:FLL7KWTV

pith:2019:FLL7KWTVQOF2NNKMJ6MOTHNDOW

not attested not anchored not stored refs pending

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

Felix Joos, Stefan Ehard, Stefan Glock

arxiv:1907.09950 v1 · 2019-07-23 · 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{FLL7KWTVQOF2NNKMJ6MOTHNDOW}

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	2026-05-17T23:39:49.588234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ad7f55a75838ba6b54c4f98e99da3758c91c7da3cbf10c6165c21d5ebfb5e9c

Aliases

arxiv: 1907.09950 · arxiv_version: 1907.09950v1 · doi: 10.48550/arxiv.1907.09950 · pith_short_12: FLL7KWTVQOF2 · pith_short_16: FLL7KWTVQOF2NNKM · pith_short_8: FLL7KWTV

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/FLL7KWTVQOF2NNKMJ6MOTHNDOW \
  | 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: 2ad7f55a75838ba6b54c4f98e99da3758c91c7da3cbf10c6165c21d5ebfb5e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "527211df7ee6a1e178f732bc89cb8bfcf5b0005d82eb67b209ee1e268a31cee6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-23T15:16:03Z",
    "title_canon_sha256": "010fb3548694e8404ae02076fbe1c8956139ef2702b958ef60bbaab5708a5c6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09950",
    "kind": "arxiv",
    "version": 1
  }
}