Pith Number

pith:BYODNK2T

pith:2017:BYODNK2TF75TLRFHBX2T2F77QS

not attested not anchored not stored refs pending

Structure and a duality of binary operations on monoids and groups

Masayoshi Kaneda

arxiv:1706.08832 v1 · 2017-06-27 · 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{BYODNK2TF75TLRFHBX2T2F77QS}

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	2026-05-18T00:41:30.887671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e1c36ab532ffb35c4a70df53d17ff84bb798020cc78d06157658d3a53b30f8e

Aliases

arxiv: 1706.08832 · arxiv_version: 1706.08832v1 · doi: 10.48550/arxiv.1706.08832 · pith_short_12: BYODNK2TF75T · pith_short_16: BYODNK2TF75TLRFH · pith_short_8: BYODNK2T

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/BYODNK2TF75TLRFHBX2T2F77QS \
  | 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: 0e1c36ab532ffb35c4a70df53d17ff84bb798020cc78d06157658d3a53b30f8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db981333f98f57ab512be1ef81c8b05e5b33601badf2f8738700e1b305456c18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-27T13:18:13Z",
    "title_canon_sha256": "c1ecb202cbaeec4797072f8177018e90059eda861542e5efcb9933887d50932e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08832",
    "kind": "arxiv",
    "version": 1
  }
}