Pith Number

pith:IYJG3PAF

pith:2017:IYJG3PAFEXLKM4RNNP6L2NHR3N

not attested not anchored not stored refs pending

Join irreducible semigroups

Benjamin Steinberg, Edmond W. H. Lee, John Rhodes

arxiv:1702.03753 v2 · 2017-02-13 · math.GR · cs.FL · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYJG3PAFEXLKM4RNNP6L2NHR3N}

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	2026-05-17T23:41:56.766433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46126dbc0525d6a6722d6bfcbd34f1db474d73bee65d511735004fbb57f7100e

Aliases

arxiv: 1702.03753 · arxiv_version: 1702.03753v2 · doi: 10.48550/arxiv.1702.03753 · pith_short_12: IYJG3PAFEXLK · pith_short_16: IYJG3PAFEXLKM4RN · pith_short_8: IYJG3PAF

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/IYJG3PAFEXLKM4RNNP6L2NHR3N \
  | 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: 46126dbc0525d6a6722d6bfcbd34f1db474d73bee65d511735004fbb57f7100e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89fbceea45dc55c2a09019c10c6235366071b7bb64c06c51ba843a8993dbf6a0",
    "cross_cats_sorted": [
      "cs.FL",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-13T12:59:29Z",
    "title_canon_sha256": "885098ff0edf04c2743e5ad77e9c22328219b8735d986ef013c8d8d704c24aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03753",
    "kind": "arxiv",
    "version": 2
  }
}