Pith Number

pith:6TXMTKN4

pith:2018:6TXMTKN4GL5A4XN3STXCYYAOSP

not attested not anchored not stored refs pending

Characterization of balls as minimizers of an endpoint Gagliardo seminorm on the boundary

Albert Mas

arxiv:1805.03557 v1 · 2018-05-09 · 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{6TXMTKN4GL5A4XN3STXCYYAOSP}

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	2026-05-18T00:16:19.889026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4eec9a9bc32fa0e5dbb94ee2c600e93d5702f61b7723a5d8a436a9d9cc6aaac

Aliases

arxiv: 1805.03557 · arxiv_version: 1805.03557v1 · doi: 10.48550/arxiv.1805.03557 · pith_short_12: 6TXMTKN4GL5A · pith_short_16: 6TXMTKN4GL5A4XN3 · pith_short_8: 6TXMTKN4

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/6TXMTKN4GL5A4XN3STXCYYAOSP \
  | 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: f4eec9a9bc32fa0e5dbb94ee2c600e93d5702f61b7723a5d8a436a9d9cc6aaac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b4fc62d9766a8fb4b1baef803af0d529abeb1f66b75ef886da05e5aabc16d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-09T14:40:23Z",
    "title_canon_sha256": "ee9e57f291b25d6d2d2f371bfa1e92cf05fe8928d56102893c89eacd475ad169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03557",
    "kind": "arxiv",
    "version": 1
  }
}