Pith Number

pith:CUHCVPL3

pith:2013:CUHCVPL3TVJDPT2QSNZ4CTKYSI

not attested not anchored not stored refs pending

Free algebras arising from positive-entropy automorphisms of surfaces

S. Paul Smith

arxiv:1308.3902 v1 · 2013-08-18 · 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{CUHCVPL3TVJDPT2QSNZ4CTKYSI}

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	2026-05-18T03:15:35.337548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

150e2abd7b9d5237cf509373c14d5892306832f62f53c86b6a31c78ddc07e8a7

Aliases

arxiv: 1308.3902 · arxiv_version: 1308.3902v1 · doi: 10.48550/arxiv.1308.3902 · pith_short_12: CUHCVPL3TVJD · pith_short_16: CUHCVPL3TVJDPT2Q · pith_short_8: CUHCVPL3

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/CUHCVPL3TVJDPT2QSNZ4CTKYSI \
  | 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: 150e2abd7b9d5237cf509373c14d5892306832f62f53c86b6a31c78ddc07e8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3c913e4302f9e25b594044e3d6263f48f5d31e8578a82ae4da38fe5ecc4d8b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-18T22:50:57Z",
    "title_canon_sha256": "b9fe5c5d6ae57b6336475c56b951c532e6500dad27b4742683b24032b09e7ab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3902",
    "kind": "arxiv",
    "version": 1
  }
}