Pith Number

pith:TFLZR5HE

pith:2015:TFLZR5HESNQLMK2GVYMTFUVWZH

not attested not anchored not stored refs pending

Dynamics of semigroups of entire maps of $\mathbb{C}^k$

Ratna Pal, Sayani Bera

arxiv:1504.03094 v2 · 2015-04-13 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFLZR5HESNQLMK2GVYMTFUVWZH}

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	2026-05-18T01:34:45.173802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995798f4e49360b62b46ae1932d2b6c9eacb3604d42e2183a7d8aff2ca5f65cb

Aliases

arxiv: 1504.03094 · arxiv_version: 1504.03094v2 · doi: 10.48550/arxiv.1504.03094 · pith_short_12: TFLZR5HESNQL · pith_short_16: TFLZR5HESNQLMK2G · pith_short_8: TFLZR5HE

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/TFLZR5HESNQLMK2GVYMTFUVWZH \
  | 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: 995798f4e49360b62b46ae1932d2b6c9eacb3604d42e2183a7d8aff2ca5f65cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3aac35350d7c17dd47ecbd72046fb8d14927ad025fc5fa4e6b7ffeac4b32fe3",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-13T08:17:24Z",
    "title_canon_sha256": "d0aeeaca878e4135b02dd2e4c7ea076fc11507ce4e9d91cbf9939f4920cc33c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03094",
    "kind": "arxiv",
    "version": 2
  }
}