Pith Number

pith:NKGRESWW

pith:2017:NKGRESWWQOYMQ2C253SJR6NSUD

not attested not anchored not stored refs pending

Internal sizes in $\mu$-abstract elementary classes

Ji\v{r}\'i Rosick\'y, Michael Lieberman, Sebastien Vasey

arxiv:1708.06782 v4 · 2017-08-22 · 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{NKGRESWWQOYMQ2C253SJR6NSUD}

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	2026-05-17T23:47:36.484339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8d124ad683b0c8685aeee498f9b2a0e684c44ef224ed475a75f9f5d8b3a8b2

Aliases

arxiv: 1708.06782 · arxiv_version: 1708.06782v4 · doi: 10.48550/arxiv.1708.06782 · pith_short_12: NKGRESWWQOYM · pith_short_16: NKGRESWWQOYMQ2C2 · pith_short_8: NKGRESWW

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/NKGRESWWQOYMQ2C253SJR6NSUD \
  | 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: 6a8d124ad683b0c8685aeee498f9b2a0e684c44ef224ed475a75f9f5d8b3a8b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140cc9755eb026dfc460f0963ac1a47c1df3468b696a29530684c9b58cb75174",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-08-22T18:44:36Z",
    "title_canon_sha256": "d1c9593dffa4f1860c7bb46ee90052df08ef14ec62637c8774cd911954aad398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06782",
    "kind": "arxiv",
    "version": 4
  }
}