Pith Number

pith:YXSIGJ7C

pith:2017:YXSIGJ7CD3N4A3RXF65VQ4DPJD

not attested not anchored not stored refs pending

Optimal lower eigenvalue estimates for Hodge-Laplacian and applications

Linlin Sun, Qing Cui

arxiv:1704.00668 v3 · 2017-04-03 · 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{YXSIGJ7CD3N4A3RXF65VQ4DPJD}

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	2026-05-18T00:27:57.426447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e48327e21edbc06e372fbb58706f48c1bcfc99cbc3d92bd816bcceb6c852a5

Aliases

arxiv: 1704.00668 · arxiv_version: 1704.00668v3 · doi: 10.48550/arxiv.1704.00668 · pith_short_12: YXSIGJ7CD3N4 · pith_short_16: YXSIGJ7CD3N4A3RX · pith_short_8: YXSIGJ7C

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/YXSIGJ7CD3N4A3RXF65VQ4DPJD \
  | 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: c5e48327e21edbc06e372fbb58706f48c1bcfc99cbc3d92bd816bcceb6c852a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83305ceb7e2c07444c0c7d1daa093c028f05959d71709c55d7f7179f9827818f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-03T16:29:18Z",
    "title_canon_sha256": "0ab3bd303db76dbd58b8b20b4da9ab588c40ddc8dd4fd5891f527ac950a64747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00668",
    "kind": "arxiv",
    "version": 3
  }
}