Pith Number

pith:MVTB3VCS

pith:2016:MVTB3VCSDTPV5VFKRZNWU4QN43

not attested not anchored not stored refs pending

PSPACE-Complete Two-Color Placement Games

Bob Hearn, Kyle Burke

arxiv:1602.06012 v1 · 2016-02-19 · 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{MVTB3VCSDTPV5VFKRZNWU4QN43}

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	2026-05-18T01:20:21.825878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65661dd4521cdf5ed4aa8e5b6a720de6d5ec602ce581928b61cbe4ed09245fdd

Aliases

arxiv: 1602.06012 · arxiv_version: 1602.06012v1 · doi: 10.48550/arxiv.1602.06012 · pith_short_12: MVTB3VCSDTPV · pith_short_16: MVTB3VCSDTPV5VFK · pith_short_8: MVTB3VCS

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/MVTB3VCSDTPV5VFKRZNWU4QN43 \
  | 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: 65661dd4521cdf5ed4aa8e5b6a720de6d5ec602ce581928b61cbe4ed09245fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e88e103fb5bfb9ee34ffaa7483e9bca1b213701d6768b78e9892788f2acc3768",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-02-19T00:51:06Z",
    "title_canon_sha256": "0082a94f8c52f5986d03221af0980eb1f7c8d00e071173cdd2b3ce8ecb8a02b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06012",
    "kind": "arxiv",
    "version": 1
  }
}