Pith Number

pith:I3RDVF4T

pith:2019:I3RDVF4TEEB6A4JEAVFP5GSNOP

not attested not anchored not stored refs pending

On the growth of algebras, semigroups, and hereditary languages

Efim Zelmanov, Jason Bell

arxiv:1907.01777 v1 · 2019-07-03 · math.RA · 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{I3RDVF4TEEB6A4JEAVFP5GSNOP}

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	2026-05-17T23:41:35.142018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46e23a97932103e07124054afe9a4d73ecb976942fc1b5b0e65999a1e065be12

Aliases

arxiv: 1907.01777 · arxiv_version: 1907.01777v1 · doi: 10.48550/arxiv.1907.01777 · pith_short_12: I3RDVF4TEEB6 · pith_short_16: I3RDVF4TEEB6A4JE · pith_short_8: I3RDVF4T

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/I3RDVF4TEEB6A4JEAVFP5GSNOP \
  | 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: 46e23a97932103e07124054afe9a4d73ecb976942fc1b5b0e65999a1e065be12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad97b43384b08a819215760012fb9e15a5a3e581dbcfbef7d77ad1df381b9883",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-07-03T07:40:58Z",
    "title_canon_sha256": "8526c6eaa9c68459ffb4d01ae2c522f58687e35fd73c0754c9162ea96ca9e495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01777",
    "kind": "arxiv",
    "version": 1
  }
}