Pith Number

pith:K4EOZFKN

pith:2015:K4EOZFKN4TCHNSNP7CSZNC5CMN

not attested not anchored not stored refs pending

Metric abstract elementary classes as accessible categories

Jiri Rosicky, Michael Lieberman

arxiv:1504.02660 v5 · 2015-04-10 · math.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4EOZFKN4TCHNSNP7CSZNC5CMN}

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	2026-05-18T00:47:43.337705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5708ec954de4c476c9aff8a5968ba2637704f590e1d441f219197a65be1501f4

Aliases

arxiv: 1504.02660 · arxiv_version: 1504.02660v5 · doi: 10.48550/arxiv.1504.02660 · pith_short_12: K4EOZFKN4TCH · pith_short_16: K4EOZFKN4TCHNSNP · pith_short_8: K4EOZFKN

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/K4EOZFKN4TCHNSNP7CSZNC5CMN \
  | 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: 5708ec954de4c476c9aff8a5968ba2637704f590e1d441f219197a65be1501f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "309bb5c592302d5c84348fc320bdc6cf70e934268f24416bb45eb78dc713a568",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-04-10T12:41:54Z",
    "title_canon_sha256": "e79b55d6a292ed33c69866e3bc281011283cf58b430c21c5cad28d444108487f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02660",
    "kind": "arxiv",
    "version": 5
  }
}