Pith Number

pith:T3OMIR4P

pith:2015:T3OMIR4P242MMWUFUKVHHGGMKH

not attested not anchored not stored refs pending

A Better Lower Bound Estimation of Brennan's Conjecture

Junyi Hu, Shiyu Chen

arxiv:1509.00270 v1 · 2015-09-01 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3OMIR4P242MMWUFUKVHHGGMKH}

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	2026-05-18T01:34:14.610520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9edcc4478fd734c65a85a2aa7398cc51da1d91a4ca6b4065694a517eeb8ac794

Aliases

arxiv: 1509.00270 · arxiv_version: 1509.00270v1 · doi: 10.48550/arxiv.1509.00270 · pith_short_12: T3OMIR4P242M · pith_short_16: T3OMIR4P242MMWUF · pith_short_8: T3OMIR4P

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/T3OMIR4P242MMWUFUKVHHGGMKH \
  | 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: 9edcc4478fd734c65a85a2aa7398cc51da1d91a4ca6b4065694a517eeb8ac794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "010a43baceb9e9f379e2b565f313e564fa11363d736fbc26a34e98794193d467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-01T13:02:25Z",
    "title_canon_sha256": "d0a1756df3e0ae75a943e861980767a5cd4e58afc8ddc40b7d7045d880fe6c26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00270",
    "kind": "arxiv",
    "version": 1
  }
}