Pith Number

pith:GKUQKQLL

pith:2025:GKUQKQLLRUK3655TIC4YFPCIV3

not attested not anchored not stored refs pending

Bounds on Derivatives in Compositions of Two Rational Functions with Prescribed Poles

Preeti Gupta

arxiv:2502.14505 v1 · 2025-02-20 · 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{GKUQKQLLRUK3655TIC4YFPCIV3}

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	2026-07-05T10:17:27.711321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a905416b8d15bf77b340b982bc48aec16453a1aa594e11a3c43f53d9b2822f

Aliases

arxiv: 2502.14505 · arxiv_version: 2502.14505v1 · doi: 10.48550/arxiv.2502.14505 · pith_short_12: GKUQKQLLRUK3 · pith_short_16: GKUQKQLLRUK3655T · pith_short_8: GKUQKQLL

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/GKUQKQLLRUK3655TIC4YFPCIV3 \
  | 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: 32a905416b8d15bf77b340b982bc48aec16453a1aa594e11a3c43f53d9b2822f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98030bd15a17204cd69dad4642527222227eee838b4b65d78d4f9828c775ba61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-02-20T12:32:32Z",
    "title_canon_sha256": "5c46eb5fba9cae588308a07fbcf6ddf8cb194b6d4da9ccfd37a0930d9a25eca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.14505",
    "kind": "arxiv",
    "version": 1
  }
}