Pith Number

pith:UAFRVWBC

pith:2017:UAFRVWBCZKL6SK7V6OMHW4HM3N

not attested not anchored not stored refs pending

Growth of monomial algebras, simple rings and free subalgebras

Be'eri Greenfeld

arxiv:1706.09845 v1 · 2017-06-29 · 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{UAFRVWBCZKL6SK7V6OMHW4HM3N}

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	2026-05-18T00:36:38.351447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a00b1ad822ca97e92bf5f3987b70ecdb7693b60bebdfd22a79c180be123d248f

Aliases

arxiv: 1706.09845 · arxiv_version: 1706.09845v1 · doi: 10.48550/arxiv.1706.09845 · pith_short_12: UAFRVWBCZKL6 · pith_short_16: UAFRVWBCZKL6SK7V · pith_short_8: UAFRVWBC

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/UAFRVWBCZKL6SK7V6OMHW4HM3N \
  | 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: a00b1ad822ca97e92bf5f3987b70ecdb7693b60bebdfd22a79c180be123d248f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "311403d63842030433d719d8b84d6300e2844bd164f326f49a3d016c6eda2df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-06-29T16:48:54Z",
    "title_canon_sha256": "f47ca339f33db639eada0793a5330b0daceb65a67c085b048c9ff5b47145caa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09845",
    "kind": "arxiv",
    "version": 1
  }
}