Pith Number

pith:LLFG23IR

pith:2018:LLFG23IRP6UMKRXEIW4XYWSQKD

not attested not anchored not stored refs pending

Free boundary regularity for a multiphase shape optimization problem

Baptiste Trey, Bozhidar Velichkov, Luca Spolaor

arxiv:1810.06963 v1 · 2018-10-16 · 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{LLFG23IRP6UMKRXEIW4XYWSQKD}

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	2026-05-18T00:03:10.930668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aca6d6d117fa8c546e445b97c5a5050db3a1e492a427e4947a946c162157de8

Aliases

arxiv: 1810.06963 · arxiv_version: 1810.06963v1 · doi: 10.48550/arxiv.1810.06963 · pith_short_12: LLFG23IRP6UM · pith_short_16: LLFG23IRP6UMKRXE · pith_short_8: LLFG23IR

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/LLFG23IRP6UMKRXEIW4XYWSQKD \
  | 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: 5aca6d6d117fa8c546e445b97c5a5050db3a1e492a427e4947a946c162157de8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86939b2d50fa34e2291df8e5e796d32f805cd34250981267be999ab2e8ac49ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-16T12:55:29Z",
    "title_canon_sha256": "932d4e4153f62e7c616660923fdbee3e7d1b99bd8983f3de739b6cd6d9c1296c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06963",
    "kind": "arxiv",
    "version": 1
  }
}