Pith Number

pith:QWRQALXZ

pith:2015:QWRQALXZSWPNY2ZFBCITCDRBYU

not attested not anchored not stored refs pending

Liouville theorems for stable solutions of the weighted Lane-Emden system

Abdellaziz Harrabi, Foued Mtiri, Hatem Hajlaoui

arxiv:1511.06736 v1 · 2015-11-20 · 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{QWRQALXZSWPNY2ZFBCITCDRBYU}

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	2026-05-18T01:26:23.939537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a3002ef9959edc6b250891310e21c517663a0f14e21afa822f1a59e3ab16e0

Aliases

arxiv: 1511.06736 · arxiv_version: 1511.06736v1 · doi: 10.48550/arxiv.1511.06736 · pith_short_12: QWRQALXZSWPN · pith_short_16: QWRQALXZSWPNY2ZF · pith_short_8: QWRQALXZ

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/QWRQALXZSWPNY2ZFBCITCDRBYU \
  | 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: 85a3002ef9959edc6b250891310e21c517663a0f14e21afa822f1a59e3ab16e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "645ddfa48b565c7d751329dccb697c32eecd8300139cc24fec830dfb22a9b9b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-20T19:51:05Z",
    "title_canon_sha256": "cbc7d0b2f8ea4d15c38701e6e768ab733b522f5c9b45b5d2057d67bfec29a3a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06736",
    "kind": "arxiv",
    "version": 1
  }
}