Pith Number

pith:EFILZ4IH

pith:2018:EFILZ4IHMGKK2KMTAUJ6Z7DCJM

not attested not anchored not stored refs pending

Existence of hypersurfaces with prescribed mean curvature I - Generic min-max

Jonathan J. Zhu, Xin Zhou

arxiv:1808.03527 v1 · 2018-08-09 · 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{EFILZ4IHMGKK2KMTAUJ6Z7DCJM}

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	2026-05-18T00:08:24.749583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2150bcf1076194ad29930513ecfc624b00af16011ac5e6deba7907c6ba1937dc

Aliases

arxiv: 1808.03527 · arxiv_version: 1808.03527v1 · doi: 10.48550/arxiv.1808.03527 · pith_short_12: EFILZ4IHMGKK · pith_short_16: EFILZ4IHMGKK2KMT · pith_short_8: EFILZ4IH

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/EFILZ4IHMGKK2KMTAUJ6Z7DCJM \
  | 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: 2150bcf1076194ad29930513ecfc624b00af16011ac5e6deba7907c6ba1937dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7200a951199fd738ec795c731b8715404938c02d6697a752651f8f168e9f904a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-09T00:27:14Z",
    "title_canon_sha256": "1934afe0d20e4b39e101ef5404f2ce208b6929f71c3aed7b3204045ac9705e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03527",
    "kind": "arxiv",
    "version": 1
  }
}