Pith Number

pith:4MJ3K3Z3

pith:2025:4MJ3K3Z3WGDIQ24PTQZIEQXLLG

not attested not anchored not stored refs pending

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds

Mia Beard

arxiv:2506.14972 v3 · 2025-06-17 · 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{4MJ3K3Z3WGDIQ24PTQZIEQXLLG}

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	2026-07-05T11:55:19.939865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e313b56f3bb186886b8f9c328242eb59853a6b0179db6f038a2ee33b3392fbf6

Aliases

arxiv: 2506.14972 · arxiv_version: 2506.14972v3 · doi: 10.48550/arxiv.2506.14972 · pith_short_12: 4MJ3K3Z3WGDI · pith_short_16: 4MJ3K3Z3WGDIQ24P · pith_short_8: 4MJ3K3Z3

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/4MJ3K3Z3WGDIQ24PTQZIEQXLLG \
  | 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: e313b56f3bb186886b8f9c328242eb59853a6b0179db6f038a2ee33b3392fbf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67cba3323e228423363f8b4e70fed4d32b4117a1c25934776558541ff44ee5d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-17T20:41:53Z",
    "title_canon_sha256": "8e206e9c6ea10a74d71b012c7bb7ab1f847573e538cd7a0aa28092c4cf5becc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14972",
    "kind": "arxiv",
    "version": 3
  }
}