Pith Number

pith:WJ7UUHCX

pith:2021:WJ7UUHCXOQV3Z523XRL3FXY23E

not attested not anchored not stored refs pending

On the Size of Minimal Surfaces in $\mathbb{R}^4$

Ari Aiolfi, Marc Soret, Marina Ville

arxiv:2106.06318 v1 · 2021-06-11 · 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{WJ7UUHCXOQV3Z523XRL3FXY23E}

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	2026-07-05T02:48:28.688786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b27f4a1c57742bbcf75bbc57b2df1ad9202b2f2a8d3bbfc5edb7fefb3d6e117d

Aliases

arxiv: 2106.06318 · arxiv_version: 2106.06318v1 · doi: 10.48550/arxiv.2106.06318 · pith_short_12: WJ7UUHCXOQV3 · pith_short_16: WJ7UUHCXOQV3Z523 · pith_short_8: WJ7UUHCX

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/WJ7UUHCXOQV3Z523XRL3FXY23E \
  | 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: b27f4a1c57742bbcf75bbc57b2df1ad9202b2f2a8d3bbfc5edb7fefb3d6e117d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab9aaaa6dacaaa59a0182e41848aee51ef074a0c96ca849d37600b7dbe02da8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-06-11T11:35:15Z",
    "title_canon_sha256": "a50c5d9b0673dcad130048f7099fc412c20148f3043c1c4c4ee08be74a7a20e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.06318",
    "kind": "arxiv",
    "version": 1
  }
}