Pith Number

pith:L6BNZYIG

pith:2015:L6BNZYIGOV4B5HMAWYN4O6LIEJ

not attested not anchored not stored refs pending

Formal groups and congruences

Masha Vlasenko

arxiv:1509.06002 v5 · 2015-09-20 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6BNZYIGOV4B5HMAWYN4O6LIEJ}

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	2026-05-18T00:11:32.818124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f82dce10675781e9d80b61bc77968226712ebaadc285c121f1a12e6bc59e3cd

Aliases

arxiv: 1509.06002 · arxiv_version: 1509.06002v5 · doi: 10.48550/arxiv.1509.06002 · pith_short_12: L6BNZYIGOV4B · pith_short_16: L6BNZYIGOV4B5HMA · pith_short_8: L6BNZYIG

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/L6BNZYIGOV4B5HMAWYN4O6LIEJ \
  | 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: 5f82dce10675781e9d80b61bc77968226712ebaadc285c121f1a12e6bc59e3cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24b484fc1882dca3cb5d502ab7686df68e9c1cdcd02ed71918aa2172477ccd6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-20T12:08:46Z",
    "title_canon_sha256": "5720365c6a8f37a6fa63628ad1855f57412834769e97b2b468a6304a39b7b49d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06002",
    "kind": "arxiv",
    "version": 5
  }
}