Pith Number

pith:EXSAGAGM

pith:2025:EXSAGAGMC5V4B4RWUMG2YBALBT

not attested not anchored not stored refs pending

On the non-uniqueness of locally minimizing clusters via singular cones

Anna Skorobogatova, Lia Bronsard, Michael Novack, Robin Neumayer

arxiv:2507.13995 v1 · 2025-07-18 · 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{EXSAGAGMC5V4B4RWUMG2YBALBT}

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	2026-07-05T11:39:26.622733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25e40300cc176bc0f236a30dac040b0cce567413a52f628f5a981cf7f6d8127b

Aliases

arxiv: 2507.13995 · arxiv_version: 2507.13995v1 · doi: 10.48550/arxiv.2507.13995 · pith_short_12: EXSAGAGMC5V4 · pith_short_16: EXSAGAGMC5V4B4RW · pith_short_8: EXSAGAGM

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/EXSAGAGMC5V4B4RWUMG2YBALBT \
  | 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: 25e40300cc176bc0f236a30dac040b0cce567413a52f628f5a981cf7f6d8127b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "200f21a37f2cc3162c25902dad30eae9b8a36b01d1b03764a265fbaf72de98d2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-18T15:04:47Z",
    "title_canon_sha256": "2a1991e084a83a20e97f53d9553e14fdac6bbf071f15503f706bef9888a461a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13995",
    "kind": "arxiv",
    "version": 1
  }
}