Pith Number

pith:H2LQVMPI

pith:2017:H2LQVMPIYQOPXWBKCS42N7U2RT

not attested not anchored not stored refs pending

Critical points of solutions for mean curvature equation in strictly convex and nonconvex domains

Hairong Liu, Haiyun Deng, Long Tian

arxiv:1712.08431 v1 · 2017-12-22 · 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{H2LQVMPIYQOPXWBKCS42N7U2RT}

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	2026-05-18T00:27:23.490368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e970ab1e8c41cfbd82a14b9a6fe9a8cf8ed44d1bd1b0e79fb36863bfe913589

Aliases

arxiv: 1712.08431 · arxiv_version: 1712.08431v1 · doi: 10.48550/arxiv.1712.08431 · pith_short_12: H2LQVMPIYQOP · pith_short_16: H2LQVMPIYQOPXWBK · pith_short_8: H2LQVMPI

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/H2LQVMPIYQOPXWBKCS42N7U2RT \
  | 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: 3e970ab1e8c41cfbd82a14b9a6fe9a8cf8ed44d1bd1b0e79fb36863bfe913589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9faa2c977920c4149152f524a698261c27db3f1fc25ff2f165b162f15b6ebb9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-22T13:24:23Z",
    "title_canon_sha256": "20b80eba17d5549d891bf165a920fbdd7f875d3dd5d7bde37b7d699d7b00758e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08431",
    "kind": "arxiv",
    "version": 1
  }
}