Pith Number

pith:FKSHOUBQ

pith:2013:FKSHOUBQJVFYGW7ES3SGCNLSL2

not attested not anchored not stored refs pending

A Modica-Mortola approximation for the Steiner Problem

Antoine Lemenant, Filippo Santambrogio

arxiv:1311.3079 v1 · 2013-11-13 · 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{FKSHOUBQJVFYGW7ES3SGCNLSL2}

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	2026-05-18T03:07:13.162721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa47750304d4b835be496e46135725e9d2aa059cddc51c67e0dcb428cb33206

Aliases

arxiv: 1311.3079 · arxiv_version: 1311.3079v1 · doi: 10.48550/arxiv.1311.3079 · pith_short_12: FKSHOUBQJVFY · pith_short_16: FKSHOUBQJVFYGW7E · pith_short_8: FKSHOUBQ

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/FKSHOUBQJVFYGW7ES3SGCNLSL2 \
  | 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: 2aa47750304d4b835be496e46135725e9d2aa059cddc51c67e0dcb428cb33206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b964b8d0730c85ec25740b5b08f86361a417c5fe595ef9741b3b85c4259225b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-13T10:55:50Z",
    "title_canon_sha256": "ee36e0b3ea1ec27d1a98302a3027a3ea3d8422fa2fa860ea8bdc489470eac956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3079",
    "kind": "arxiv",
    "version": 1
  }
}