Pith Number

pith:ES5KIMB6

pith:2011:ES5KIMB6IZFFHIE3PB6TOE7FXF

not attested not anchored not stored refs pending

Complete monotonicity of a function involving the $p$-psi function and alternative proofs

Feng Qi, Valmir Krasniqi

arxiv:1105.4928 v2 · 2011-05-25 · 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{ES5KIMB6IZFFHIE3PB6TOE7FXF}

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	2026-05-18T02:45:29.118443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24baa4303e464a53a09b787d3713e5b9751764c6a24005b0f5d6bafde77d8c0c

Aliases

arxiv: 1105.4928 · arxiv_version: 1105.4928v2 · doi: 10.48550/arxiv.1105.4928 · pith_short_12: ES5KIMB6IZFF · pith_short_16: ES5KIMB6IZFFHIE3 · pith_short_8: ES5KIMB6

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/ES5KIMB6IZFFHIE3PB6TOE7FXF \
  | 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: 24baa4303e464a53a09b787d3713e5b9751764c6a24005b0f5d6bafde77d8c0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd6b55a60845487ea16810eea375bfb6ea3265f4cafc2ef0436752eda79bd27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-25T04:20:59Z",
    "title_canon_sha256": "7934698a7f395c03c38b91997e5e11f25bcf76226c2ab15b2479d1d2c1cb3056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4928",
    "kind": "arxiv",
    "version": 2
  }
}