Pith Number

pith:VRFPYEMS

pith:2018:VRFPYEMS3KJQQ4RCSWFLP2QBAI

not attested not anchored not stored refs pending

On positive solutions of fully nonlinear degenerate Lane-Emden type equations

Giulio Galise

arxiv:1801.06659 v2 · 2018-01-20 · 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{VRFPYEMS3KJQQ4RCSWFLP2QBAI}

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	2026-05-17T23:39:58.839524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4afc1192da93087222958ab7ea0102201e3265b19327d7fa8f01f11ee3b82d

Aliases

arxiv: 1801.06659 · arxiv_version: 1801.06659v2 · doi: 10.48550/arxiv.1801.06659 · pith_short_12: VRFPYEMS3KJQ · pith_short_16: VRFPYEMS3KJQQ4RC · pith_short_8: VRFPYEMS

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/VRFPYEMS3KJQQ4RCSWFLP2QBAI \
  | 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: ac4afc1192da93087222958ab7ea0102201e3265b19327d7fa8f01f11ee3b82d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33f1b48e7e68134e60660f2466503991a8f6b2cfb0947ea6d792740d8299d3cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-20T11:09:32Z",
    "title_canon_sha256": "9bceecf74a18a3ed1abc301eb54ad58ea5612f75e5f3bf2103bfa7022184a601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06659",
    "kind": "arxiv",
    "version": 2
  }
}