Pith Number

pith:AG5YQSAJ

pith:2015:AG5YQSAJ3QRAVGAXIGPJIQRUDJ

not attested not anchored not stored refs pending

The Addition Theorem for algebraic entropies induced by non-discrete length functions

Luigi Salce, Simone Virili

arxiv:1505.02354 v1 · 2015-05-10 · 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{AG5YQSAJ3QRAVGAXIGPJIQRUDJ}

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	2026-05-18T02:16:19.031100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01bb884809dc220a9817419e9442341a532bec55afc56f52d8cf5a76ee79b149

Aliases

arxiv: 1505.02354 · arxiv_version: 1505.02354v1 · doi: 10.48550/arxiv.1505.02354 · pith_short_12: AG5YQSAJ3QRA · pith_short_16: AG5YQSAJ3QRAVGAX · pith_short_8: AG5YQSAJ

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/AG5YQSAJ3QRAVGAXIGPJIQRUDJ \
  | 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: 01bb884809dc220a9817419e9442341a532bec55afc56f52d8cf5a76ee79b149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699bfd4193db4afb092cd4d9b52801b57f1d4f9e572ed9fd474153e977fd1411",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-05-10T08:41:59Z",
    "title_canon_sha256": "e60e00ea799df5e805fe6acb5c4083577f99ff834f7bf6df3d31c5e9733fcb04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02354",
    "kind": "arxiv",
    "version": 1
  }
}