Pith Number

pith:UI3DIUJ7

pith:2019:UI3DIUJ72WFJLVXWCNEEJPMOZH

not attested not anchored not stored refs pending

Inequivalent complexity criteria for free boundary minimal surfaces

Alessandro Carlotto, Giada Franz

arxiv:1908.04709 v3 · 2019-08-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UI3DIUJ72WFJLVXWCNEEJPMOZH}

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	2026-07-05T01:19:24.693963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23634513fd58a95d6f6134844bd8ec9c5259575292cbadff390839ff6700752

Aliases

arxiv: 1908.04709 · arxiv_version: 1908.04709v3 · doi: 10.48550/arxiv.1908.04709 · pith_short_12: UI3DIUJ72WFJ · pith_short_16: UI3DIUJ72WFJLVXW · pith_short_8: UI3DIUJ7

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/UI3DIUJ72WFJLVXWCNEEJPMOZH \
  | 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: a23634513fd58a95d6f6134844bd8ec9c5259575292cbadff390839ff6700752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c79d9c13a35a8e1d2086a903931d56b107d0e90176198f8de2bffae74c6578",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-13T15:48:32Z",
    "title_canon_sha256": "b37c41565aed951daa40280a44c21f466478ed96c06630d0379618f840466d40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04709",
    "kind": "arxiv",
    "version": 3
  }
}