Pith Number

pith:TSGNZ2Q5

pith:2016:TSGNZ2Q52FKB3KOA7A2LIILOC2

not attested not anchored not stored refs pending

Upper bounds on the first eigenvalue for the $p$-Laplacian

Guangyue Huang, Zhi Li

arxiv:1602.03610 v3 · 2016-02-11 · 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{TSGNZ2Q52FKB3KOA7A2LIILOC2}

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	2026-05-18T00:53:51.068866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c8cdcea1dd1541da9c0f834b4216e16acc04ac995e7a71e26dec4b6bdf62712

Aliases

arxiv: 1602.03610 · arxiv_version: 1602.03610v3 · doi: 10.48550/arxiv.1602.03610 · pith_short_12: TSGNZ2Q52FKB · pith_short_16: TSGNZ2Q52FKB3KOA · pith_short_8: TSGNZ2Q5

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/TSGNZ2Q52FKB3KOA7A2LIILOC2 \
  | 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: 9c8cdcea1dd1541da9c0f834b4216e16acc04ac995e7a71e26dec4b6bdf62712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "300fd2afb174d4c31ec869812e8184dd306b0de13b199d7dac59a6778cd13cf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-11T03:08:46Z",
    "title_canon_sha256": "d1c23a96197e92bce25dc476bf33100f9002c20b4322c2f061d68e1cc4d92d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03610",
    "kind": "arxiv",
    "version": 3
  }
}