Pith Number

pith:BRH42VE7

pith:2017:BRH42VE7HX6QKEJIMD3UPL44LY

not attested not anchored not stored refs pending

Racks as multiplicative graphs

Jacob Mostovoy

arxiv:1707.01787 v2 · 2017-07-06 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRH42VE7HX6QKEJIMD3UPL44LY}

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	2026-05-18T00:38:45.812824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c4fcd549f3dfd05112860f747af9c5e0c4d150bcc47d3e47ebf5d2761ef03b6

Aliases

arxiv: 1707.01787 · arxiv_version: 1707.01787v2 · doi: 10.48550/arxiv.1707.01787 · pith_short_12: BRH42VE7HX6Q · pith_short_16: BRH42VE7HX6QKEJI · pith_short_8: BRH42VE7

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/BRH42VE7HX6QKEJIMD3UPL44LY \
  | 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: 0c4fcd549f3dfd05112860f747af9c5e0c4d150bcc47d3e47ebf5d2761ef03b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e5b621d0ee3520e1e54a4db2ee457ccf07197230f256252cbc504fffe0e9cd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-07-06T13:43:54Z",
    "title_canon_sha256": "5be03382ced2588faf2edf28b43c93db7e765cf5c833feb195c87772092f3c94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01787",
    "kind": "arxiv",
    "version": 2
  }
}