Pith Number

pith:5DBQZV4O

pith:2017:5DBQZV4OWMTSHNUKOJKIVO4OU6

not attested not anchored not stored refs pending

Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature

Pengzi Miao, Siyuan Lu

arxiv:1703.08164 v2 · 2017-03-23 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DBQZV4OWMTSHNUKOJKIVO4OU6}

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	2026-05-18T00:44:08.766478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8c30cd78eb32723b68a72548abb8ea7ad399b5a7b48b03bd4865b7e70891c07

Aliases

arxiv: 1703.08164 · arxiv_version: 1703.08164v2 · doi: 10.48550/arxiv.1703.08164 · pith_short_12: 5DBQZV4OWMTS · pith_short_16: 5DBQZV4OWMTSHNUK · pith_short_8: 5DBQZV4O

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/5DBQZV4OWMTSHNUKOJKIVO4OU6 \
  | 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: e8c30cd78eb32723b68a72548abb8ea7ad399b5a7b48b03bd4865b7e70891c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a0a636e9445f32cf4098800a04c022e333641f770e580cb9ab46b1f5c227a2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-03-23T17:50:23Z",
    "title_canon_sha256": "b3aafa9ddb032304497b0397e4f27f50d36e59786b330144d4c7e108126443c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08164",
    "kind": "arxiv",
    "version": 2
  }
}