Pith Number

pith:HDTBKPYC

pith:2021:HDTBKPYCQU2IDGEKCQJOJNJXME

not attested not anchored not stored refs pending

Maximal towers and ultrafilter bases in computability

Andre Nies, Joseph S. Miller, Mariya Soskova, Steffen Lempp

arxiv:2106.00312 v2 · 2021-06-01 · 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{HDTBKPYCQU2IDGEKCQJOJNJXME}

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	2026-07-05T09:15:25.235175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38e6153f02853481988a1412e4b5376106e94e729d9fdd61148de6221b1e845e

Aliases

arxiv: 2106.00312 · arxiv_version: 2106.00312v2 · doi: 10.48550/arxiv.2106.00312 · pith_short_12: HDTBKPYCQU2I · pith_short_16: HDTBKPYCQU2IDGEK · pith_short_8: HDTBKPYC

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/HDTBKPYCQU2IDGEKCQJOJNJXME \
  | 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: 38e6153f02853481988a1412e4b5376106e94e729d9fdd61148de6221b1e845e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993beb801bd0b50ef24da349f15ece023ff301722031c891c78bc8b3afdfa879",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2021-06-01T08:41:00Z",
    "title_canon_sha256": "3b6a972fbe1de624f32b4d569e59dcf7df191719d813d34b5e985abd30968c35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.00312",
    "kind": "arxiv",
    "version": 2
  }
}