Pith Number

pith:X3UQX6TJ

pith:2025:X3UQX6TJMCIIMQIB4IE6SYFVIX

not attested not anchored not stored refs pending

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought?

Erik D. Demaine, Markus Hecher, Max Bannach, Timothy Gomez

arxiv:2506.06716 v1 · 2025-06-07 · cs.CC · cs.DM · cs.DS · cs.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3UQX6TJMCIIMQIB4IE6SYFVIX}

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	2026-07-05T11:17:54.592105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bee90bfa696090864101e209e960b545ebe25c276a642295b4363ced21ffbf04

Aliases

arxiv: 2506.06716 · arxiv_version: 2506.06716v1 · doi: 10.48550/arxiv.2506.06716 · pith_short_12: X3UQX6TJMCII · pith_short_16: X3UQX6TJMCIIMQIB · pith_short_8: X3UQX6TJ

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/X3UQX6TJMCIIMQIB4IE6SYFVIX \
  | 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: bee90bfa696090864101e209e960b545ebe25c276a642295b4363ced21ffbf04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "623ceba9232ded081475d799d69bf58f827dca2a16707da30f9fad5f07b60032",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "cs.LO",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-06-07T08:53:38Z",
    "title_canon_sha256": "eba371ce98d88baf8325033fcfb43fb458265236d13b6ef715562d06b32fb7a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06716",
    "kind": "arxiv",
    "version": 1
  }
}