Pith Number

pith:BHC5CFT4

pith:2017:BHC5CFT4253L7IRKC2EVOZXKRQ

not attested not anchored not stored refs pending

Uniqueness of critical points of solutions to the mean curvature equation with Neumann and Robin boundary conditions

Hairong Liu, Haiyun Deng, Long Tian

arxiv:1712.08454 v2 · 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{BHC5CFT4253L7IRKC2EVOZXKRQ}

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	2026-05-18T00:13:21.669182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c5d1167cd776bfa22a16895766ea8c17378a3e8ec7950e4ddc1b897946c837

Aliases

arxiv: 1712.08454 · arxiv_version: 1712.08454v2 · doi: 10.48550/arxiv.1712.08454 · pith_short_12: BHC5CFT4253L · pith_short_16: BHC5CFT4253L7IRK · pith_short_8: BHC5CFT4

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/BHC5CFT4253L7IRKC2EVOZXKRQ \
  | 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: 09c5d1167cd776bfa22a16895766ea8c17378a3e8ec7950e4ddc1b897946c837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b520b655dcd3955483b47d05d292099a77c73a5976a10f83b8d4dfe6f1409e93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-22T14:10:41Z",
    "title_canon_sha256": "13be426f2bc7448365fa3cc5fd0536c0c341e0b8e94069489e4540f8b1bc52ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08454",
    "kind": "arxiv",
    "version": 2
  }
}