Pith Number

pith:NAAXYQM7

pith:2018:NAAXYQM7OMYLIXO7AONJAK3OZU

not attested not anchored not stored refs pending

Liouville theorems for stable at infinity solutions of Lane-Emden system

Dong Ye, Foued Mtiri

arxiv:1802.09004 v1 · 2018-02-25 · 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{NAAXYQM7OMYLIXO7AONJAK3OZU}

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	2026-05-17T23:53:31.592096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68017c419f7330b45ddf039a902b6ecd094d9f7e21afb1662073c556af32686e

Aliases

arxiv: 1802.09004 · arxiv_version: 1802.09004v1 · doi: 10.48550/arxiv.1802.09004 · pith_short_12: NAAXYQM7OMYL · pith_short_16: NAAXYQM7OMYLIXO7 · pith_short_8: NAAXYQM7

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/NAAXYQM7OMYLIXO7AONJAK3OZU \
  | 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: 68017c419f7330b45ddf039a902b6ecd094d9f7e21afb1662073c556af32686e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b40c580bf40eca8c6fc63a7d5dee0b113c49ba5df18ffa1e1c574ad39955214",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-25T13:39:52Z",
    "title_canon_sha256": "4a800ff96843cfd35c305e65350c17290992c19b84db7db0de85fa5dd472136c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09004",
    "kind": "arxiv",
    "version": 1
  }
}