Pith Number

pith:OKYCZO47

pith:2026:OKYCZO47YYYCBBB3P56K5N3SQX

not attested not anchored not stored refs pending

Ulam Median is NP-hard for Four Permutations

Mursalin Habib

arxiv:2608.05544 v1 · 2026-08-06 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKYCZO47YYYCBBB3P56K5N3SQX}

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	2026-08-07T00:48:39.292246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72b02cbb9fc63020843b7f7caeb77285dc03c7ad034124a58a23dda2bd700c19

Aliases

arxiv: 2608.05544 · arxiv_version: 2608.05544v1 · doi: 10.48550/arxiv.2608.05544 · pith_short_12: OKYCZO47YYYC · pith_short_16: OKYCZO47YYYCBBB3 · pith_short_8: OKYCZO47

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/OKYCZO47YYYCBBB3P56K5N3SQX \
  | 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: 72b02cbb9fc63020843b7f7caeb77285dc03c7ad034124a58a23dda2bd700c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37fb2a4505d621adccd916dd0d8affbc862caeb27e10bd7c63cbd88c5c975482",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-08-06T02:50:53Z",
    "title_canon_sha256": "44c5677591c3405a51460c661f9cf6d05fd4ce533a0a49f89063fba48382bd26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05544",
    "kind": "arxiv",
    "version": 1
  }
}