Pith Number

pith:56SNECTR

pith:2024:56SNECTRE47MGDYYRNE7APT4AC

not attested not anchored not stored refs pending

Merges of Smooth Classes and Their Properties

Morgan Bryant

arxiv:2411.10689 v1 · 2024-11-16 · 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{56SNECTRE47MGDYYRNE7APT4AC}

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	2026-07-05T09:36:20.592871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa4d20a71273ec30f188b49f03e7c00baaac4242adc2b30a1166eef80066265

Aliases

arxiv: 2411.10689 · arxiv_version: 2411.10689v1 · doi: 10.48550/arxiv.2411.10689 · pith_short_12: 56SNECTRE47M · pith_short_16: 56SNECTRE47MGDYY · pith_short_8: 56SNECTR

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/56SNECTRE47MGDYYRNE7APT4AC \
  | 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: efa4d20a71273ec30f188b49f03e7c00baaac4242adc2b30a1166eef80066265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2423232e6996e68f8844134738e594a4cfab03e6aed1201c553326f2a09f6e58",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-11-16T03:38:05Z",
    "title_canon_sha256": "3e8acd38328041a855cf7dabf58f1ef297a25b77518a732f6010c35d45eaf0db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.10689",
    "kind": "arxiv",
    "version": 1
  }
}