Pith Number

pith:FRHRLOZT

pith:2026:FRHRLOZTKBNTD3ISBI5S5WE3UT

not attested not anchored not stored refs pending

Half-flips are 5-avoidable

Pascal Ochem

arxiv:2605.18811 v1 · 2026-05-12 · math.CO · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRHRLOZTKBNTD3ISBI5S5WE3UT}

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	2026-05-20T00:06:23.678439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4f15bb33505b31ed120a3b2ed89ba4c0c685e9c6832ee7537efd9a3df0a62c

Aliases

arxiv: 2605.18811 · arxiv_version: 2605.18811v1 · doi: 10.48550/arxiv.2605.18811 · pith_short_12: FRHRLOZTKBNT · pith_short_16: FRHRLOZTKBNTD3IS · pith_short_8: FRHRLOZT

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/FRHRLOZTKBNTD3ISBI5S5WE3UT \
  | 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: 2c4f15bb33505b31ed120a3b2ed89ba4c0c685e9c6832ee7537efd9a3df0a62c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89c010c3a18379a32493e8b21246d2322bda74469d8484d9efaa4ee7ac361c53",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-12T08:22:54Z",
    "title_canon_sha256": "6153601482ed0d2df1066c4a5fc53cc444241acd0a1a962ab6d2d0b827ac9322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18811",
    "kind": "arxiv",
    "version": 1
  }
}