Pith Number

pith:FUKNPI6V

pith:2009:FUKNPI6V7FOYEP5ZPKPEL2PRIU

not attested not anchored not stored refs pending

Proofs for a monotonicity result of a function involving the psi and exponential functions

Bai-Ni Guo, Feng Qi

arxiv:0902.2519 v2 · 2009-02-15 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUKNPI6V7FOYEP5ZPKPEL2PRIU}

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	2026-05-18T03:28:30.916043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d14d7a3d5f95d823fb97a9e45e9f1450be4a7e550a13ef1286c535207ae84be

Aliases

arxiv: 0902.2519 · arxiv_version: 0902.2519v2 · doi: 10.48550/arxiv.0902.2519 · pith_short_12: FUKNPI6V7FOY · pith_short_16: FUKNPI6V7FOYEP5Z · pith_short_8: FUKNPI6V

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/FUKNPI6V7FOYEP5ZPKPEL2PRIU \
  | 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: 2d14d7a3d5f95d823fb97a9e45e9f1450be4a7e550a13ef1286c535207ae84be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57b442c90f6c5a2e37ca352c20e9d2f610570d22398528cc539265b88c46d319",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-02-15T03:43:13Z",
    "title_canon_sha256": "ef19cb87f2b65ebb999b9a3f9d3037ded7d64b9ac4e47c30a1b014e8fd1f2675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2519",
    "kind": "arxiv",
    "version": 2
  }
}