Pith Number

pith:CKBWPVLM

pith:2025:CKBWPVLM6QO67SRECIKLA4PJTQ

not attested not anchored not stored refs pending

Possibility Frames and Forcing for Modal Logic

Wesley H. Holliday

arxiv:2501.11768 v1 · 2025-01-20 · math.LO · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKBWPVLM6QO67SRECIKLA4PJTQ}

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	2026-07-05T10:03:13.551935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128367d56cf41defca241214b071e99c396e2048bd28005fe886921d5003dc38

Aliases

arxiv: 2501.11768 · arxiv_version: 2501.11768v1 · doi: 10.48550/arxiv.2501.11768 · pith_short_12: CKBWPVLM6QO6 · pith_short_16: CKBWPVLM6QO67SRE · pith_short_8: CKBWPVLM

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/CKBWPVLM6QO67SRECIKLA4PJTQ \
  | 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: 128367d56cf41defca241214b071e99c396e2048bd28005fe886921d5003dc38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cf9da7d20a78686b98cfcd29f5783916e25fa12c552f081f6e4c012d556c893",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-01-20T22:11:48Z",
    "title_canon_sha256": "1df9127eec65c9f2d445126c0b1eeb9a1f4a2ae34485f65586cc403fc7b998bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11768",
    "kind": "arxiv",
    "version": 1
  }
}