Pith Number

pith:PL37H25D

pith:2018:PL37H25D7RWSC5QM727G7LYWSH

not attested not anchored not stored refs pending

Free boundary minimal surfaces and overdetermined boundary value problems

Alexei V. Penskoi, Nikolai Nadirashvili

arxiv:1812.08943 v1 · 2018-12-21 · math.DG · 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{PL37H25D7RWSC5QM727G7LYWSH}

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	2026-05-17T23:57:45.832763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af7f3eba3fc6d21760cfebe6faf1691f488e5251a2a2ac444ed6c32c3bcf4f0

Aliases

arxiv: 1812.08943 · arxiv_version: 1812.08943v1 · doi: 10.48550/arxiv.1812.08943 · pith_short_12: PL37H25D7RWS · pith_short_16: PL37H25D7RWSC5QM · pith_short_8: PL37H25D

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/PL37H25D7RWSC5QM727G7LYWSH \
  | 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: 7af7f3eba3fc6d21760cfebe6faf1691f488e5251a2a2ac444ed6c32c3bcf4f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01591e02ab4c141eff04fa5de5d8436362d6a064441e482108bbcbdc5649c681",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-12-21T04:44:52Z",
    "title_canon_sha256": "3bf2b00e514a612dadb396172a89aa9a77ec28a850d8815934f7409db9a1237f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08943",
    "kind": "arxiv",
    "version": 1
  }
}