Pith Number

pith:GMMWVSIS

pith:2016:GMMWVSISS4YIMI4NL52HUNOEF2

not attested not anchored not stored refs pending

On the isoperimetric properties of Planar N-clusters

Marco Caroccia

arxiv:1601.07116 v1 · 2016-01-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMMWVSISS4YIMI4NL52HUNOEF2}

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	2026-05-18T01:21:57.403835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33196ac912973086238d5f747a35c42eae5e0cf7859c98c9d552a97edeb8485f

Aliases

arxiv: 1601.07116 · arxiv_version: 1601.07116v1 · doi: 10.48550/arxiv.1601.07116 · pith_short_12: GMMWVSISS4YI · pith_short_16: GMMWVSISS4YIMI4N · pith_short_8: GMMWVSIS

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/GMMWVSISS4YIMI4NL52HUNOEF2 \
  | 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: 33196ac912973086238d5f747a35c42eae5e0cf7859c98c9d552a97edeb8485f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "989c349a548a323ad340d6f822f250a45fa0cc0854193b6217a1d8a0174ddbc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-26T17:54:09Z",
    "title_canon_sha256": "d8e9c9bc89055d34199264212000591a942a11a6260164fe88ee16e950c8ed44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07116",
    "kind": "arxiv",
    "version": 1
  }
}