Pith Number

pith:JSOSA6SX

pith:2019:JSOSA6SXPZ23LSVD2L5LVXSO5M

not attested not anchored not stored refs pending

ERRATA CORRIGE: Intrinsic algebraic entropy

Daniele Toller, Simone Virili

arxiv:1908.09544 v1 · 2019-08-26 · math.GR · math.AC · math.DS · 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{JSOSA6SXPZ23LSVD2L5LVXSO5M}

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	2026-07-04T23:59:41.379274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c9d207a577e75b5caa3d2fabade4eeb0f93ca74c633c2226a766ae06619f66a

Aliases

arxiv: 1908.09544 · arxiv_version: 1908.09544v1 · doi: 10.48550/arxiv.1908.09544 · pith_short_12: JSOSA6SXPZ23 · pith_short_16: JSOSA6SXPZ23LSVD · pith_short_8: JSOSA6SX

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/JSOSA6SXPZ23LSVD2L5LVXSO5M \
  | 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: 4c9d207a577e75b5caa3d2fabade4eeb0f93ca74c633c2226a766ae06619f66a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23512698f402c3acd5895c318b896a7ea5f0e8628a231e2edb5242c2242b3ae1",
    "cross_cats_sorted": [
      "math.AC",
      "math.DS",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-26T09:13:56Z",
    "title_canon_sha256": "664a06a7e2ad300d3a21ef78187535101675b2efbde16ab8a3131c6e1cae7295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09544",
    "kind": "arxiv",
    "version": 1
  }
}