Pith Number

pith:MTEUVVSH

pith:2016:MTEUVVSHR6DPLZJH7TZINKQLAK

not attested not anchored not stored refs pending

On finite Morse index solutions to the quadharmonic Lane-Emden equation

Juncheng Wei, Senping Luo, Wenming Zou

arxiv:1609.01269 v1 · 2016-09-05 · 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{MTEUVVSHR6DPLZJH7TZINKQLAK}

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	2026-05-18T01:06:18.452827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c94ad6478f86f5e527fcf286aa0b02ad290dedb119bd290488f341bc3e71c8

Aliases

arxiv: 1609.01269 · arxiv_version: 1609.01269v1 · doi: 10.48550/arxiv.1609.01269 · pith_short_12: MTEUVVSHR6DP · pith_short_16: MTEUVVSHR6DPLZJH · pith_short_8: MTEUVVSH

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/MTEUVVSHR6DPLZJH7TZINKQLAK \
  | 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: 64c94ad6478f86f5e527fcf286aa0b02ad290dedb119bd290488f341bc3e71c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31449bcd5b39a03e64a39b8d91e60cbb8440e60441cf1169bbb6911684908ef1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-05T19:52:58Z",
    "title_canon_sha256": "bcaae5f261c26e435ba939535f3146c38a5f5c6f82e60ea05b59cdfeebd73c9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01269",
    "kind": "arxiv",
    "version": 1
  }
}