Pith Number

pith:TAJKSQFX

pith:2016:TAJKSQFXTXQAD4VS4E24I67RZU

not attested not anchored not stored refs pending

New inequalities involving the Geometric-Arithmetic index

J. A. Rodriguez-Velazquez, J. M. Rodriguez, J. M. Sigarreta

arxiv:1611.04187 v1 · 2016-11-13 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAJKSQFXTXQAD4VS4E24I67RZU}

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	2026-05-18T00:59:17.232436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9812a940b79de001f2b2e135c47bf1cd2f5fe837c95220c7e51c926071ac8088

Aliases

arxiv: 1611.04187 · arxiv_version: 1611.04187v1 · doi: 10.48550/arxiv.1611.04187 · pith_short_12: TAJKSQFXTXQA · pith_short_16: TAJKSQFXTXQAD4VS · pith_short_8: TAJKSQFX

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/TAJKSQFXTXQAD4VS4E24I67RZU \
  | 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: 9812a940b79de001f2b2e135c47bf1cd2f5fe837c95220c7e51c926071ac8088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc05558a5cf232ff8d5bee9ebfd300c0d5e17744bbe8f823bbb28b5e3d52cd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-13T20:50:55Z",
    "title_canon_sha256": "a07f7025ea4972741da95b4c22c18be16108b94b27d4343975fa60ea7fffaa4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04187",
    "kind": "arxiv",
    "version": 1
  }
}