Pith Number

pith:UPRGAAAB

pith:2017:UPRGAAAB6Z3PSO74FZ7KW3P53V

not attested not anchored not stored refs pending

A new approximation to the geometric-arithmetic index

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

arxiv:1703.05520 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{UPRGAAAB6Z3PSO74FZ7KW3P53V}

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	2026-05-18T00:48:34.075255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3e2600001f676f93bfc2e7eab6dfddd488208a8d44a42cc0187405663feff87

Aliases

arxiv: 1703.05520 · arxiv_version: 1703.05520v1 · doi: 10.48550/arxiv.1703.05520 · pith_short_12: UPRGAAAB6Z3P · pith_short_16: UPRGAAAB6Z3PSO74 · pith_short_8: UPRGAAAB

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/UPRGAAAB6Z3PSO74FZ7KW3P53V \
  | 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: a3e2600001f676f93bfc2e7eab6dfddd488208a8d44a42cc0187405663feff87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01fd3b51398f37d1c12081dc92785c1d1cd503605cfbb9006b2aa2b7ac1fe4b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-16T09:16:02Z",
    "title_canon_sha256": "9028e71259ad11dbc9bf216ea3788dca330c1da1028880efb611a2f5e6a5d3bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05520",
    "kind": "arxiv",
    "version": 1
  }
}