Pith Number

pith:A27XPVBY

pith:2019:A27XPVBYR6NXQXJTLQVCKRURSZ

not attested not anchored not stored refs pending

Existence of minimal hypersurfaces with non-empty free boundary for generic metrics

Zhichao Wang

arxiv:1909.01787 v1 · 2019-09-04 · math.DG · math.AP · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A27XPVBYR6NXQXJTLQVCKRURSZ}

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	2026-07-05T00:02:19.912645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06bf77d4388f9b785d335c2a254691967905cf2ea7ce2e66c8c82906b39dbb02

Aliases

arxiv: 1909.01787 · arxiv_version: 1909.01787v1 · doi: 10.48550/arxiv.1909.01787 · pith_short_12: A27XPVBYR6NX · pith_short_16: A27XPVBYR6NXQXJT · pith_short_8: A27XPVBY

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/A27XPVBYR6NXQXJTLQVCKRURSZ \
  | 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: 06bf77d4388f9b785d335c2a254691967905cf2ea7ce2e66c8c82906b39dbb02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a59d055fe3e7ebe604a9692a559af5dd2442419e98618492ada8190806515968",
    "cross_cats_sorted": [
      "math.AP",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-04T13:31:01Z",
    "title_canon_sha256": "3f0d3df6c5610c7e1288e706825ceca89c8154429e67b97cc8f8123ecfd53bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01787",
    "kind": "arxiv",
    "version": 1
  }
}