Pith Number

pith:XNYAOT5C

pith:2025:XNYAOT5CZM7FPY6B4PDTMEYTJJ

not attested not anchored not stored refs pending

Two $\mathfrak{b}$ or not two $\mathfrak{b}$?

Adam Kwela, Rafa{\l} Filip\'ow

arxiv:2507.03734 v1 · 2025-07-04 · math.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNYAOT5CZM7FPY6B4PDTMEYTJJ}

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	2026-07-05T11:32:04.377177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb70074fa2cb3e57e3c1e3c73613134a720559680101acf6f7424bff4222a13a

Aliases

arxiv: 2507.03734 · arxiv_version: 2507.03734v1 · doi: 10.48550/arxiv.2507.03734 · pith_short_12: XNYAOT5CZM7F · pith_short_16: XNYAOT5CZM7FPY6B · pith_short_8: XNYAOT5C

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/XNYAOT5CZM7FPY6B4PDTMEYTJJ \
  | 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: bb70074fa2cb3e57e3c1e3c73613134a720559680101acf6f7424bff4222a13a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485e84ca184617f6d9e4d4505e7e8a77c08650a3e5d35c6fd0b8c5910e2f5cf0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-07-04T17:47:42Z",
    "title_canon_sha256": "ce3072d6ddc0fe214f873058ea43c649a537b0ba8e447789d89f2fd124dd82de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03734",
    "kind": "arxiv",
    "version": 1
  }
}