Pith Number

pith:3ISH6BL4

pith:2024:3ISH6BL4VN7ISOZUO2OG5AQWG6

not attested not anchored not stored refs pending

Restricted subgraphs of edge-colored graphs and applications

Benny Sudakov

arxiv:2412.13945 v1 · 2024-12-18 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ISH6BL4VN7ISOZUO2OG5AQWG6}

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.

Cited by

1 paper in Pith

A proof of Andersen's rainbow path conjecture for large $n$

Receipt and verification

First computed	2026-07-05T09:51:11.215490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da247f057cab7e893b34769c6e821637a0a0d30ab24f6fe7166555bd98cf4c85

Aliases

arxiv: 2412.13945 · arxiv_version: 2412.13945v1 · doi: 10.48550/arxiv.2412.13945 · pith_short_12: 3ISH6BL4VN7I · pith_short_16: 3ISH6BL4VN7ISOZU · pith_short_8: 3ISH6BL4

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/3ISH6BL4VN7ISOZUO2OG5AQWG6 \
  | 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: da247f057cab7e893b34769c6e821637a0a0d30ab24f6fe7166555bd98cf4c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd81de46be297a8534a8a2b1db6f7ca1edf1ea9f87ce742e0e847dc062a0d2b8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-18T15:27:53Z",
    "title_canon_sha256": "0c7184c55b831e31fb1122a3a692dd030cc5517f7c595984171b2be6b5291d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13945",
    "kind": "arxiv",
    "version": 1
  }
}