Pith Number

pith:ZRZKFCUL

pith:2012:ZRZKFCULOLE35VJADVI7X6HLZF

not attested not anchored not stored refs pending

On functional inequalities for the psi function

Barkat Ali Bhayo

arxiv:1210.0046 v2 · 2012-09-28 · 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{ZRZKFCULOLE35VJADVI7X6HLZF}

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	2026-05-18T01:33:57.275028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc72a28a8b72c9bed5201d51fbf8ebc954393440d54aa3affe209324e52e40b2

Aliases

arxiv: 1210.0046 · arxiv_version: 1210.0046v2 · doi: 10.48550/arxiv.1210.0046 · pith_short_12: ZRZKFCULOLE3 · pith_short_16: ZRZKFCULOLE35VJA · pith_short_8: ZRZKFCUL

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/ZRZKFCULOLE35VJADVI7X6HLZF \
  | 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: cc72a28a8b72c9bed5201d51fbf8ebc954393440d54aa3affe209324e52e40b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341d5c4c7f7111196a46a0737e379bf99541dfaf743bc480d60cdd249f948fee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-28T21:47:32Z",
    "title_canon_sha256": "630f1abbcceb8bbc9135d681716e63804ba7d8d858eb5bd6c747f9dc3259683e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0046",
    "kind": "arxiv",
    "version": 2
  }
}