Pith Number

pith:GUQSUXVD

pith:2026:GUQSUXVDNVN7GSGNWA66TALDI5

not attested not anchored not stored refs pending

A note on the Alon-Saks-Seymour problem

Jacob Fox

arxiv:2605.28915 v1 · 2026-05-27 · 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{GUQSUXVDNVN7GSGNWA66TALDI5}

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	2026-05-29T00:04:16.435081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35212a5ea36d5bf348cdb03de981634753aeb46f159a11ddbd9ff6b0237a6961

Aliases

arxiv: 2605.28915 · arxiv_version: 2605.28915v1 · doi: 10.48550/arxiv.2605.28915 · pith_short_12: GUQSUXVDNVN7 · pith_short_16: GUQSUXVDNVN7GSGN · pith_short_8: GUQSUXVD

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/GUQSUXVDNVN7GSGNWA66TALDI5 \
  | 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: 35212a5ea36d5bf348cdb03de981634753aeb46f159a11ddbd9ff6b0237a6961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d33a75c881b4d64a551536afd8df71d1e69af61d8b682da259532c27c8db3c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-27T17:50:03Z",
    "title_canon_sha256": "92dad904e5eb92a72cb9d719738189551e10e6421077e75cf32ceec46a75b396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28915",
    "kind": "arxiv",
    "version": 1
  }
}