Pith Number

pith:FMBB2SYU

pith:2026:FMBB2SYUNHUW2FO7X4LOLA2JFA

not attested not anchored not stored refs pending

A few remarks on the Baez-Duarte Criterion

Alexandre Pyvovarov

arxiv:2607.12084 v1 · 2026-07-13 · math.NT · 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{FMBB2SYUNHUW2FO7X4LOLA2JFA}

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	2026-07-15T00:21:32.418413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b021d4b1469e96d15dfbf16e5834928092a2f50f0c92b6b8360a5488c377f6b

Aliases

arxiv: 2607.12084 · arxiv_version: 2607.12084v1 · doi: 10.48550/arxiv.2607.12084 · pith_short_12: FMBB2SYUNHUW · pith_short_16: FMBB2SYUNHUW2FO7 · pith_short_8: FMBB2SYU

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/FMBB2SYUNHUW2FO7X4LOLA2JFA \
  | 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: 2b021d4b1469e96d15dfbf16e5834928092a2f50f0c92b6b8360a5488c377f6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c811b363b7d753cff5edeab9bf2f292555f95d02343660528f3a1023d604786",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-13T19:00:15Z",
    "title_canon_sha256": "2a7ce3b2ce174dd2681fc1f6a27fd610dc2f2e6ea7ec3ca3d6f890e88361530e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12084",
    "kind": "arxiv",
    "version": 1
  }
}