Pith Number

pith:ILJ6MXIC

pith:2013:ILJ6MXICFF3L77PDRW57S2CE4Z

not attested not anchored not stored refs pending

The dynamics of semigroups of transcendental entire functions I

Dinesh Kumar, Sanjay Kumar

arxiv:1302.7249 v7 · 2013-02-28 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILJ6MXICFF3L77PDRW57S2CE4Z}

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	2026-05-18T02:51:42.457687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d3e65d022976bffde38dbbf96844e6682316bd644993d0f896ea6f62db8a3e

Aliases

arxiv: 1302.7249 · arxiv_version: 1302.7249v7 · doi: 10.48550/arxiv.1302.7249 · pith_short_12: ILJ6MXICFF3L · pith_short_16: ILJ6MXICFF3L77PD · pith_short_8: ILJ6MXIC

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/ILJ6MXICFF3L77PDRW57S2CE4Z \
  | 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: 42d3e65d022976bffde38dbbf96844e6682316bd644993d0f896ea6f62db8a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07ffa35a05ff6d6eabf3910481d61dea1908e9dbfc257e4e740ffecef4dfe895",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-28T16:39:26Z",
    "title_canon_sha256": "e6e2ccac38610ec4415201a50f861cdf5735fcc82d6ca0b4faf3045b36a9864b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7249",
    "kind": "arxiv",
    "version": 7
  }
}