Pith Number

pith:4BAWP7M7

pith:2013:4BAWP7M7MK2KLAZRCCKZRTWYIF

not attested not anchored not stored refs pending

Local and global minimality results for a nonlocal isoperimetric problem on R^N

Marco Bonacini, Riccardo Cristoferi

arxiv:1307.5269 v1 · 2013-07-19 · 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{4BAWP7M7MK2KLAZRCCKZRTWYIF}

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	2026-05-18T00:54:41.890793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e04167fd9f62b4a58331109598ced8417981a549ed431f137cc2b9c235eff795

Aliases

arxiv: 1307.5269 · arxiv_version: 1307.5269v1 · doi: 10.48550/arxiv.1307.5269 · pith_short_12: 4BAWP7M7MK2K · pith_short_16: 4BAWP7M7MK2KLAZR · pith_short_8: 4BAWP7M7

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/4BAWP7M7MK2KLAZRCCKZRTWYIF \
  | 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: e04167fd9f62b4a58331109598ced8417981a549ed431f137cc2b9c235eff795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c0de840fc5de5585151d7d3056bf18f4e7617154ca5daf99357acbf59753e1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-19T16:15:42Z",
    "title_canon_sha256": "0567e8369c6f15757673e48c4a703f69fc02c9050801ea61a9a747e728648e5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5269",
    "kind": "arxiv",
    "version": 1
  }
}