Pith Number

pith:NGIOPX3D

pith:2018:NGIOPX3D2BRWWVAI3VDEMVNV4H

not attested not anchored not stored refs pending

Simplicity of augmentation submodules for transformation monoids

B. Steinberg, M.H. Shahzamanian

arxiv:1804.10943 v1 · 2018-04-29 · math.CO · math.GR · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGIOPX3D2BRWWVAI3VDEMVNV4H}

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	2026-05-18T00:17:15.101605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6990e7df63d0636b5408dd464655b5e1deb0d4616fbb15211fb12b3f7556f41d

Aliases

arxiv: 1804.10943 · arxiv_version: 1804.10943v1 · doi: 10.48550/arxiv.1804.10943 · pith_short_12: NGIOPX3D2BRW · pith_short_16: NGIOPX3D2BRWWVAI · pith_short_8: NGIOPX3D

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/NGIOPX3D2BRWWVAI3VDEMVNV4H \
  | 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: 6990e7df63d0636b5408dd464655b5e1deb0d4616fbb15211fb12b3f7556f41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "807c7568e3394e681e2c5b824d0a039d0641aa7afd9be27027f49926c6d2103d",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-29T14:35:56Z",
    "title_canon_sha256": "1b84b19be4f1fe568029bd8defbee439582bf33bc42d21769dd24d5242d363b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10943",
    "kind": "arxiv",
    "version": 1
  }
}