Pith Number

pith:NBBQCEGC

pith:2021:NBBQCEGCRZAH6EDNTUWBWONBIE

not attested not anchored not stored refs pending

Lower bounds on $\beta(\alpha)$ and other properties of $\alpha$-ITRMs

Merlin Carl

arxiv:2102.13531 v2 · 2021-02-26 · 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{NBBQCEGCRZAH6EDNTUWBWONBIE}

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	2026-05-20T00:05:23.642296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68430110c28e407f106d9d2c1b39a141025b817c6c5010998e140b6f2fcb16bb

Aliases

arxiv: 2102.13531 · arxiv_version: 2102.13531v2 · doi: 10.48550/arxiv.2102.13531 · pith_short_12: NBBQCEGCRZAH · pith_short_16: NBBQCEGCRZAH6EDN · pith_short_8: NBBQCEGC

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/NBBQCEGCRZAH6EDNTUWBWONBIE \
  | 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: 68430110c28e407f106d9d2c1b39a141025b817c6c5010998e140b6f2fcb16bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8bacc6ad578db28d05edee3e4eb89c83ffa5f236eda5ad637fab40b1a4e0228",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2021-02-26T15:07:11Z",
    "title_canon_sha256": "258f1bdf22daae297a8e5a04763a0784e229453131aa98519915491dc4af683a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.13531",
    "kind": "arxiv",
    "version": 2
  }
}