Pith Number

pith:VP52LG42

pith:2014:VP52LG42UMJZOJW7SCJK2LOIXY

not attested not anchored not stored refs pending

Approximation of length minimization problems among compact connected sets

Antoine Lemenant (LJLL), Filippo Santambrogio (LM-Orsay), Matthieu Bonnivard (LJLL)

arxiv:1403.3004 v1 · 2014-03-09 · math.MG · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VP52LG42UMJZOJW7SCJK2LOIXY}

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	2026-05-18T02:56:33.387475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abfba59b9aa3139726df9092ad2dc8be138c8e38cf97995d21b2c9aa83d54e51

Aliases

arxiv: 1403.3004 · arxiv_version: 1403.3004v1 · doi: 10.48550/arxiv.1403.3004 · pith_short_12: VP52LG42UMJZ · pith_short_16: VP52LG42UMJZOJW7 · pith_short_8: VP52LG42

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/VP52LG42UMJZOJW7SCJK2LOIXY \
  | 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: abfba59b9aa3139726df9092ad2dc8be138c8e38cf97995d21b2c9aa83d54e51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e10a9af6fb68d9f8547c2be4aa62d18b14e1f637cfdd775f2da2687f25f7775",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-03-09T19:30:58Z",
    "title_canon_sha256": "288bb9a833f59ca9943b503a593e11d699be7cfe009e364e3a6ff10e7310426a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3004",
    "kind": "arxiv",
    "version": 1
  }
}