Pith Number

pith:7DAYO6GF

pith:2015:7DAYO6GFY25KD6IE7AOE7JW6IJ

not attested not anchored not stored refs pending

Enumeration Reducibility in Closure Spaces with Applications to Logic and Algebra

Emmanuel Jeandel (CARTE)

arxiv:1505.07578 v3 · 2015-05-28 · cs.DM · cs.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DAYO6GFY25KD6IE7AOE7JW6IJ}

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	2026-05-18T00:38:32.212783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8c18778c5c6baa1f904f81c4fa6de4242d730bd40896b1c1107ef7f3e2d1058

Aliases

arxiv: 1505.07578 · arxiv_version: 1505.07578v3 · doi: 10.48550/arxiv.1505.07578 · pith_short_12: 7DAYO6GFY25K · pith_short_16: 7DAYO6GFY25KD6IE · pith_short_8: 7DAYO6GF

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/7DAYO6GFY25KD6IE7AOE7JW6IJ \
  | 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: f8c18778c5c6baa1f904f81c4fa6de4242d730bd40896b1c1107ef7f3e2d1058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce143e7d4e2e9a06d596088da8dd00838cbd45591deeb505d4a2cc754478966f",
    "cross_cats_sorted": [
      "cs.LO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-05-28T07:51:24Z",
    "title_canon_sha256": "06fa33f48a10d2d96599d37e3992f9549d8f1c97bb90bb5f0553302cafc1fa7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07578",
    "kind": "arxiv",
    "version": 3
  }
}