Pith Number

pith:3E6XWSHW

pith:2015:3E6XWSHW4RHGOFG2NRTRDQQYRB

not attested not anchored not stored refs pending

Dynamics of infinitely generated nicely expanding rational semigroups and the inducing method

Hiroki Sumi, Johannes Jaerisch

arxiv:1501.06772 v4 · 2015-01-27 · math.DS · math.CV · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3E6XWSHW4RHGOFG2NRTRDQQYRB}

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	2026-05-18T00:50:02.112146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93d7b48f6e44e6714da6c6711c218886be3b6ffc805dc0f1126131f30f56d6b

Aliases

arxiv: 1501.06772 · arxiv_version: 1501.06772v4 · doi: 10.48550/arxiv.1501.06772 · pith_short_12: 3E6XWSHW4RHG · pith_short_16: 3E6XWSHW4RHGOFG2 · pith_short_8: 3E6XWSHW

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/3E6XWSHW4RHGOFG2NRTRDQQYRB \
  | 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: d93d7b48f6e44e6714da6c6711c218886be3b6ffc805dc0f1126131f30f56d6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cf08fc50686e35a289c4215059f685642274e0d30a7bce0fb43245aa0ff6ce1",
    "cross_cats_sorted": [
      "math.CV",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-27T14:23:34Z",
    "title_canon_sha256": "6774cc49643819b56e02b47897dd180c0f5ad0ae809a669b2976e65ed6c3eeeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06772",
    "kind": "arxiv",
    "version": 4
  }
}