Pith Number

pith:2RE35YZ7

pith:2025:2RE35YZ7DSLV34BTVQ43BC4MSM

not attested not anchored not stored refs pending

On positive solutions of Lane-Emden equations on the integer lattice graphs

Bobo Hua, Feng Zhou, Huyuan Chen

arxiv:2510.08947 v4 · 2025-10-10 · 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{2RE35YZ7DSLV34BTVQ43BC4MSM}

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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.

Cited by

1 paper in Pith

Sharp Criteria for the existence of positive solutions to Lane-Emden-type inequalities on weighted graphs

Receipt and verification

First computed	2026-05-20T00:04:14.465559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d449bee33f1c975df033ac39b08b8c93301a2bd2b987e6832f2e58843933bbdc

Aliases

arxiv: 2510.08947 · arxiv_version: 2510.08947v4 · doi: 10.48550/arxiv.2510.08947 · pith_short_12: 2RE35YZ7DSLV · pith_short_16: 2RE35YZ7DSLV34BT · pith_short_8: 2RE35YZ7

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/2RE35YZ7DSLV34BTVQ43BC4MSM \
  | 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: d449bee33f1c975df033ac39b08b8c93301a2bd2b987e6832f2e58843933bbdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528db3f932343dc7ca5449a3d36f54c25325974553c53eae06cbcae8208602a7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-10-10T02:57:53Z",
    "title_canon_sha256": "1b5a72c9a0fae08a8ee4106e1bc05c0882350737dc56af87a22b935a63689912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.08947",
    "kind": "arxiv",
    "version": 4
  }
}