Pith Number

pith:VNUPGX3I

pith:2026:VNUPGX3IB24NLKRBGZWVDZCQXP

not attested not anchored not stored refs pending

The complexity of being monitorable

Francesco Dagnino, Riccardo Camerlo

arxiv:2601.04256 v2 · 2026-01-06 · 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{VNUPGX3IB24NLKRBGZWVDZCQXP}

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	2026-06-19T16:11:19.081134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab68f35f680eb8d5aa21366d51e450bbe53279382a519f4e5e22acdd698363d9

Aliases

arxiv: 2601.04256 · arxiv_version: 2601.04256v2 · doi: 10.48550/arxiv.2601.04256 · pith_short_12: VNUPGX3IB24N · pith_short_16: VNUPGX3IB24NLKRB · pith_short_8: VNUPGX3I

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/VNUPGX3IB24NLKRBGZWVDZCQXP \
  | 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: ab68f35f680eb8d5aa21366d51e450bbe53279382a519f4e5e22acdd698363d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80a09af772199c6a13b30c2784fe874a5f75afba9ac321e9f26e6d058fa340e2",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-01-06T22:32:14Z",
    "title_canon_sha256": "cb013c8a3c6befa5aac8644cf73e0e963e99052c446dd9b51646f25d47a2bef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.04256",
    "kind": "arxiv",
    "version": 2
  }
}