Pith Number

pith:47B37ACG

pith:2017:47B37ACGYVX7PMCUOELP6XOAKV

not attested not anchored not stored refs pending

New lower bounds for the Geometric-Arithmetic index

Alvaro Mart\'inez-P\'erez, Jos\'e M. Rodr\'iguez

arxiv:1703.05524 v1 · 2017-03-16 · 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{47B37ACGYVX7PMCUOELP6XOAKV}

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	2026-05-18T00:48:34.051656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7c3bf8046c56ff7b0547116ff5dc0554581a42c3536a7e6c8d794df6e01b29e

Aliases

arxiv: 1703.05524 · arxiv_version: 1703.05524v1 · doi: 10.48550/arxiv.1703.05524 · pith_short_12: 47B37ACGYVX7 · pith_short_16: 47B37ACGYVX7PMCU · pith_short_8: 47B37ACG

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/47B37ACGYVX7PMCUOELP6XOAKV \
  | 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: e7c3bf8046c56ff7b0547116ff5dc0554581a42c3536a7e6c8d794df6e01b29e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f90116c9d37a310a406a2dd0b20467c08bc53b8f21051bfbbc0306c717c39ca7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-16T09:20:44Z",
    "title_canon_sha256": "ba419ed044c81b9885571611dde135db50dcd90a0caf45619402ff6d5b898fc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05524",
    "kind": "arxiv",
    "version": 1
  }
}