Pith Number

pith:6KNULCNP

pith:2017:6KNULCNPJS6L2XA262INPEWX6P

not attested not anchored not stored refs pending

Homogeneous finitely presented monoids of linear growth

Dmitri Piontkovski

arxiv:1712.06022 v1 · 2017-12-16 · math.GR · 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{6KNULCNPJS6L2XA262INPEWX6P}

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	2026-05-18T00:27:51.257161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f29b4589af4cbcbd5c1af690d792d7f3ccbbe2f38d1c8a573f54f97da4d37f96

Aliases

arxiv: 1712.06022 · arxiv_version: 1712.06022v1 · doi: 10.48550/arxiv.1712.06022 · pith_short_12: 6KNULCNPJS6L · pith_short_16: 6KNULCNPJS6L2XA2 · pith_short_8: 6KNULCNP

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/6KNULCNPJS6L2XA262INPEWX6P \
  | 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: f29b4589af4cbcbd5c1af690d792d7f3ccbbe2f38d1c8a573f54f97da4d37f96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b0026ab0608ab2222aab213d2778f260bd19f9a9c2a2d64633b2e7fcfb68a49",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-12-16T21:25:47Z",
    "title_canon_sha256": "67f7996fd033d41e6ed6cc2f13ab8c06cb581cf52011a5eb0e47e537ca58f2af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06022",
    "kind": "arxiv",
    "version": 1
  }
}