Pith Number

pith:K2COT4PQ

pith:2014:K2COT4PQIPO6TTZPJKVPG6RPH4

not attested not anchored not stored refs pending

Ranks of $\mathcal{F}$-limits of filter sequences

Adam Kwela, Ireneusz Rec{\l}aw

arxiv:1410.0560 v1 · 2014-10-02 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2COT4PQIPO6TTZPJKVPG6RPH4}

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	2026-05-18T02:41:10.746296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5684e9f1f043dde9cf2f4aaaf37a2f3f16b157ff7e85e2ff641b16fd3bd73490

Aliases

arxiv: 1410.0560 · arxiv_version: 1410.0560v1 · doi: 10.48550/arxiv.1410.0560 · pith_short_12: K2COT4PQIPO6 · pith_short_16: K2COT4PQIPO6TTZP · pith_short_8: K2COT4PQ

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/K2COT4PQIPO6TTZPJKVPG6RPH4 \
  | 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: 5684e9f1f043dde9cf2f4aaaf37a2f3f16b157ff7e85e2ff641b16fd3bd73490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e06bce9de31286165af022a2119576f361a263babed3b9937f943d1b9186e428",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-10-02T14:24:26Z",
    "title_canon_sha256": "5801c7903a8b318f3e8996646614464648a339d98a73c86979a9d67e4f905103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0560",
    "kind": "arxiv",
    "version": 1
  }
}