Pith Number

pith:HR2KDOJM

pith:2015:HR2KDOJM6VSJB6QIVPZRA43PWI

not attested not anchored not stored refs pending

On closed sets of relational constraints and classes of functions closed under variable substitutions

Miguel Couceiro, Stephan Foldes

arxiv:1508.01558 v1 · 2015-08-06 · math.LO · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HR2KDOJM6VSJB6QIVPZRA43PWI}

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	2026-05-18T01:35:39.408681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c74a1b92cf56490fa08abf310736fb218e85a00ca04d63a776c2e92a5c946c0

Aliases

arxiv: 1508.01558 · arxiv_version: 1508.01558v1 · doi: 10.48550/arxiv.1508.01558 · pith_short_12: HR2KDOJM6VSJ · pith_short_16: HR2KDOJM6VSJB6QI · pith_short_8: HR2KDOJM

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/HR2KDOJM6VSJB6QIVPZRA43PWI \
  | 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: 3c74a1b92cf56490fa08abf310736fb218e85a00ca04d63a776c2e92a5c946c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5551e55dc4bc5be499a438449321cf10762bfed0b630af291cc301ea95788e18",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-08-06T22:48:26Z",
    "title_canon_sha256": "9cb64f362e87c1c69924212510068f24b7626d756617f6ace47d44d5050f105d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01558",
    "kind": "arxiv",
    "version": 1
  }
}