Pith Number

pith:VCKZ6NDK

pith:2013:VCKZ6NDKHRY3OJUXWSK4VNUT33

not attested not anchored not stored refs pending

Discrete dynamical systems in group theory

Anna Giordano Bruno, Dikran Dikranjan

arxiv:1308.4035 v1 · 2013-08-19 · 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{VCKZ6NDKHRY3OJUXWSK4VNUT33}

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	2026-05-18T03:15:35.045685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8959f346a3c71b72697b495cab693def99ea0ca06abdc1c6d2169eab0a84ba3

Aliases

arxiv: 1308.4035 · arxiv_version: 1308.4035v1 · doi: 10.48550/arxiv.1308.4035 · pith_short_12: VCKZ6NDKHRY3 · pith_short_16: VCKZ6NDKHRY3OJUX · pith_short_8: VCKZ6NDK

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/VCKZ6NDKHRY3OJUXWSK4VNUT33 \
  | 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: a8959f346a3c71b72697b495cab693def99ea0ca06abdc1c6d2169eab0a84ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b59233fd6f165809c5d2b78b8ff57381ed174b2400828d669860378186e074",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-19T14:24:31Z",
    "title_canon_sha256": "9798584293a51548173dfb591dd45664886ce0151d72aae868ed72302520d52e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4035",
    "kind": "arxiv",
    "version": 1
  }
}