Pith Number

pith:IRTS5YOV

pith:2018:IRTS5YOVII3S4Q3VB2OPPUVCYI

not attested not anchored not stored refs pending

Lower bound for the perimeter density at singular points of a minimizing cluster in $\mathbb R^N$

Jonas Hirsch, Michele Marini

arxiv:1801.09298 v1 · 2018-01-28 · 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{IRTS5YOVII3S4Q3VB2OPPUVCYI}

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	2026-05-18T00:24:57.901489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44672ee1d542372e43750e9cf7d2a2c213f79e1ed8f8d4b85f1713eae137a305

Aliases

arxiv: 1801.09298 · arxiv_version: 1801.09298v1 · doi: 10.48550/arxiv.1801.09298 · pith_short_12: IRTS5YOVII3S · pith_short_16: IRTS5YOVII3S4Q3V · pith_short_8: IRTS5YOV

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/IRTS5YOVII3S4Q3VB2OPPUVCYI \
  | 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: 44672ee1d542372e43750e9cf7d2a2c213f79e1ed8f8d4b85f1713eae137a305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8652f1013372e6ba573547be5c4a6e1d1157e49c3e681d72fa26b0a33edf94ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-28T21:52:54Z",
    "title_canon_sha256": "cde37cff0b97a55b61e99c688d785b531810dd7c2eb7279a63823d159c74a263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09298",
    "kind": "arxiv",
    "version": 1
  }
}