Pith Number

pith:WHIIRX7K

pith:2026:WHIIRX7KAP3JR4T72DG65VA4JP

not attested not anchored not stored refs pending

On the Computational Complexity of (Extended) Threshold Dimension and (Semi-)Ladder Index

Pasin Manurangsi

arxiv:2607.28355 v1 · 2026-07-30 · 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{WHIIRX7KAP3JR4T72DG65VA4JP}

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	2026-07-31T01:37:23.599515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

b1d088dfea03f698f27fd0cdeed41c4bd7822d514a5eb7f43150e9f6d5d80fe8

Aliases

arxiv: 2607.28355 · arxiv_version: 2607.28355v1 · doi: 10.48550/arxiv.2607.28355 · pith_short_12: WHIIRX7KAP3J · pith_short_16: WHIIRX7KAP3JR4T7 · pith_short_8: WHIIRX7K

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/WHIIRX7KAP3JR4T72DG65VA4JP \
  | 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: b1d088dfea03f698f27fd0cdeed41c4bd7822d514a5eb7f43150e9f6d5d80fe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23545b1219a0b22b5c248a7447e3688b7effd82a7b73e63f18bb673f8dc03550",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-07-30T15:24:28Z",
    "title_canon_sha256": "91c3eb1d88236b79406875f471264422effed6e87ed027da6d17f9cb70e78e6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28355",
    "kind": "arxiv",
    "version": 1
  }
}