Pith Number

pith:YTZ45U6K

pith:2014:YTZ45U6KMGMTXLDTSRQSWNYSLA

not attested not anchored not stored refs pending

Semigroups of transcendental entire functions and their dynamics

Dinesh Kumar, Sanjay Kumar

arxiv:1405.0224 v5 · 2014-05-01 · 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{YTZ45U6KMGMTXLDTSRQSWNYSLA}

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	2026-05-18T01:30:55.556052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f3ced3ca61993bac7394612b3712581e119079589c151ab81fba6c86e82b71

Aliases

arxiv: 1405.0224 · arxiv_version: 1405.0224v5 · doi: 10.48550/arxiv.1405.0224 · pith_short_12: YTZ45U6KMGMT · pith_short_16: YTZ45U6KMGMTXLDT · pith_short_8: YTZ45U6K

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/YTZ45U6KMGMTXLDTSRQSWNYSLA \
  | 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: c4f3ced3ca61993bac7394612b3712581e119079589c151ab81fba6c86e82b71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af6e898150dd9121aa18b911a2991346bc50e1a40424776af52713022e20a8d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-01T17:18:29Z",
    "title_canon_sha256": "75bb4f2cf1251ef61a6f85356e988331494efd2a74033f0b5198321ed9fc6d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0224",
    "kind": "arxiv",
    "version": 5
  }
}