Pith Number

pith:TQCDOCVV

pith:2018:TQCDOCVVLMS7WMP6VS3T2OTXW2

not attested not anchored not stored refs pending

Sharp Reilly-type inequalities for submanifolds in space forms

Hang Chen, Xianfeng Wang

arxiv:1806.10826 v1 · 2018-06-28 · 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{TQCDOCVVLMS7WMP6VS3T2OTXW2}

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	2026-05-18T00:12:07.817873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c04370ab55b25fb31feacb73d3a77b69dcfc5e2e9ad0f5bd79411e6f7705340

Aliases

arxiv: 1806.10826 · arxiv_version: 1806.10826v1 · doi: 10.48550/arxiv.1806.10826 · pith_short_12: TQCDOCVVLMS7 · pith_short_16: TQCDOCVVLMS7WMP6 · pith_short_8: TQCDOCVV

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/TQCDOCVVLMS7WMP6VS3T2OTXW2 \
  | 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: 9c04370ab55b25fb31feacb73d3a77b69dcfc5e2e9ad0f5bd79411e6f7705340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38885ec91b14f21a93dd3f57d984fbd48cccdffe652137154c8582071d7e1e13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-06-28T08:32:49Z",
    "title_canon_sha256": "1fd505d9600defba5bc01fa161a9af62816e3610c8450cf8b49549fda258c429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10826",
    "kind": "arxiv",
    "version": 1
  }
}