Pith Number

pith:2ERWS4NV

pith:2025:2ERWS4NV5RYOYJVQ6OISLR57VJ

not attested not anchored not stored refs pending

Explaining the Ubiquity of Phase Transitions in Decision Problems

Andrew Jackson

arxiv:2501.14569 v1 · 2025-01-24 · 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{2ERWS4NV5RYOYJVQ6OISLR57VJ}

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.

Cited by

1 paper in Pith

Phase Transitions in Decision Problems Over Odd-Sized Alphabets

Receipt and verification

First computed	2026-07-05T10:05:02.871810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1236971b5ec70ec26b0f39125c7bfaa6dd9336b2934364953aec81fef92df41

Aliases

arxiv: 2501.14569 · arxiv_version: 2501.14569v1 · doi: 10.48550/arxiv.2501.14569 · pith_short_12: 2ERWS4NV5RYO · pith_short_16: 2ERWS4NV5RYOYJVQ · pith_short_8: 2ERWS4NV

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/2ERWS4NV5RYOYJVQ6OISLR57VJ \
  | 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: d1236971b5ec70ec26b0f39125c7bfaa6dd9336b2934364953aec81fef92df41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e77c18d72bd6610c8be41f6471bc0aa40902dd4c638d89d63554f705dfe97be",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-01-24T15:24:34Z",
    "title_canon_sha256": "433f3a485d9c000a87cb101af293eda2526ac342b4722277e0a128edb808c6d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.14569",
    "kind": "arxiv",
    "version": 1
  }
}