Pith Number

pith:S7MWN52R

pith:2013:S7MWN52R35TXX6DKJWVESZRUTT

not attested not anchored not stored refs pending

Liouville theorems for the polyharmonic Henon-Lane-Emden system

Mostafa Fazly

arxiv:1308.0073 v1 · 2013-08-01 · 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{S7MWN52R35TXX6DKJWVESZRUTT}

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	2026-05-18T03:17:00.680728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97d966f751df677bf86a4daa4966349cebb8c65832de24ce4b33bf69c7fc79bc

Aliases

arxiv: 1308.0073 · arxiv_version: 1308.0073v1 · doi: 10.48550/arxiv.1308.0073 · pith_short_12: S7MWN52R35TX · pith_short_16: S7MWN52R35TXX6DK · pith_short_8: S7MWN52R

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/S7MWN52R35TXX6DKJWVESZRUTT \
  | 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: 97d966f751df677bf86a4daa4966349cebb8c65832de24ce4b33bf69c7fc79bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e69d01aa7be4add1ee18f1097f6ece9b3f53bfa8e23fd4ecfbe753bec1348c69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-01T00:54:08Z",
    "title_canon_sha256": "d486efa5c2205de58d3b896c0b58ae6e9fed0dad793f701f681041d013ac6b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0073",
    "kind": "arxiv",
    "version": 1
  }
}