Pith Number

pith:PFFN2EMV

pith:2015:PFFN2EMVYZF4AFOBETGTRJKU3A

not attested not anchored not stored refs pending

Approximations of superstability in concrete accessible categories

Jiri Rosicky, Michael Lieberman

arxiv:1505.06047 v1 · 2015-05-22 · 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{PFFN2EMVYZF4AFOBETGTRJKU3A}

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	2026-05-18T02:03:49.304662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794add1195c64bc015c124cd38a554d82c69bd84a40f99dec51aa1b5eb94ba92

Aliases

arxiv: 1505.06047 · arxiv_version: 1505.06047v1 · doi: 10.48550/arxiv.1505.06047 · pith_short_12: PFFN2EMVYZF4 · pith_short_16: PFFN2EMVYZF4AFOB · pith_short_8: PFFN2EMV

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/PFFN2EMVYZF4AFOBETGTRJKU3A \
  | 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: 794add1195c64bc015c124cd38a554d82c69bd84a40f99dec51aa1b5eb94ba92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3543784a73a8c6397ca149b9b76a44115bdb338bcad2f2f62a928e4cd67c1ffc",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-05-22T12:37:41Z",
    "title_canon_sha256": "890a92d7445ea525b61bf9d652ff1d23b6435e11a0dc6d4961191dcd5284e67d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06047",
    "kind": "arxiv",
    "version": 1
  }
}