Pith Number

pith:R2U3QSQG

pith:2013:R2U3QSQG7LG7RFTYMDBZ3DGE2V

not attested not anchored not stored refs pending

Controlling the Depth, Size, and Number of Subtrees for Two-variable Logic on Trees

James Worrell, Michael Benedikt, Rastislav Lenhardt, Saguy Benaim

arxiv:1304.6925 v2 · 2013-04-25 · 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{R2U3QSQG7LG7RFTYMDBZ3DGE2V}

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	2026-05-18T03:22:07.570258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ea9b84a06facdf8967860c39d8cc4d56af40f229bda3f5a56888e49f90d7255

Aliases

arxiv: 1304.6925 · arxiv_version: 1304.6925v2 · doi: 10.48550/arxiv.1304.6925 · pith_short_12: R2U3QSQG7LG7 · pith_short_16: R2U3QSQG7LG7RFTY · pith_short_8: R2U3QSQG

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/R2U3QSQG7LG7RFTYMDBZ3DGE2V \
  | 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: 8ea9b84a06facdf8967860c39d8cc4d56af40f229bda3f5a56888e49f90d7255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f22262987b6ffddf5e078f4549d66957f0daee30f78b1942ed8c38cb6b9b52a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-04-25T14:48:59Z",
    "title_canon_sha256": "f156d46d8d555a43cdc8a4bf3fac1fd9e2841fc2f4b283a855d24c4a81358997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6925",
    "kind": "arxiv",
    "version": 2
  }
}