Pith Number

pith:CBTSTTKZ

pith:2025:CBTSTTKZ2CCGHIHV7UMDHBLAAU

not attested not anchored not stored refs pending

Phase Transitions in Decision Problems Over Odd-Sized Alphabets

Andrew Jackson

arxiv:2505.09282 v1 · 2025-05-14 · 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{CBTSTTKZ2CCGHIHV7UMDHBLAAU}

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	2026-07-05T11:03:05.659912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106729cd59d08463a0f5fd183385600512355720176dbd9f6018efe82f6ae874

Aliases

arxiv: 2505.09282 · arxiv_version: 2505.09282v1 · doi: 10.48550/arxiv.2505.09282 · pith_short_12: CBTSTTKZ2CCG · pith_short_16: CBTSTTKZ2CCGHIHV · pith_short_8: CBTSTTKZ

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/CBTSTTKZ2CCGHIHV7UMDHBLAAU \
  | 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: 106729cd59d08463a0f5fd183385600512355720176dbd9f6018efe82f6ae874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2979ccabe9b3db4e6c13702c2b37e969317d5742c5c0a39f51053176d26fbd27",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-05-14T11:08:17Z",
    "title_canon_sha256": "6240826bcaa1f6c27c7771903de00ed4335f332eafa8c1952691319c91552330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09282",
    "kind": "arxiv",
    "version": 1
  }
}