Pith Number

pith:5T33ZMXM

pith:2024:5T33ZMXMDB3VGVUF4C5GI2XAJN

not attested not anchored not stored refs pending

Stable $s$-minimal cones in $\mathbb{R}^2$ are flat for $s \sim 0$

Michele Caselli

arxiv:2412.06318 v3 · 2024-12-09 · 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{5T33ZMXMDB3VGVUF4C5GI2XAJN}

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	2026-07-05T10:45:58.001569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf7bcb2ec1877535685e0ba646ae04b4fa649eeab5b3ac53335fd5e4b786dee

Aliases

arxiv: 2412.06318 · arxiv_version: 2412.06318v3 · doi: 10.48550/arxiv.2412.06318 · pith_short_12: 5T33ZMXMDB3V · pith_short_16: 5T33ZMXMDB3VGVUF · pith_short_8: 5T33ZMXM

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/5T33ZMXMDB3VGVUF4C5GI2XAJN \
  | 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: ecf7bcb2ec1877535685e0ba646ae04b4fa649eeab5b3ac53335fd5e4b786dee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6842fde9caad8858f4f5c6a761616f7afff997ec523a5bd636c70b4b7f42e26e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-09T09:11:58Z",
    "title_canon_sha256": "cf99867f3279b182569efcf2ba15e9672fa95f44f6b4cfcbdfd92c3843f0348e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06318",
    "kind": "arxiv",
    "version": 3
  }
}