Pith Number

pith:SQ3MWHOT

pith:2012:SQ3MWHOTH5WPN4R33X2IMJ7AOD

not attested not anchored not stored refs pending

All solutions of the n = 5 Lane-Emden equation

Patryk Mach

arxiv:1205.3480 v1 · 2012-05-15 · math-ph · astro-ph.SR · gr-qc · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQ3MWHOTH5WPN4R33X2IMJ7AOD}

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	2026-05-18T01:57:31.812787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9436cb1dd33f6cf6f23bddf48627e070c6428dc0ebf20d34034a171f04f83a67

Aliases

arxiv: 1205.3480 · arxiv_version: 1205.3480v1 · doi: 10.48550/arxiv.1205.3480 · pith_short_12: SQ3MWHOTH5WP · pith_short_16: SQ3MWHOTH5WPN4R3 · pith_short_8: SQ3MWHOT

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/SQ3MWHOTH5WPN4R33X2IMJ7AOD \
  | 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: 9436cb1dd33f6cf6f23bddf48627e070c6428dc0ebf20d34034a171f04f83a67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e06671d93d64f5d945d9388abf635d17e882ea1aafe6ceec8cbf443e8b900d09",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-15T19:28:57Z",
    "title_canon_sha256": "565b137633ed9b2c2739612b3a29120b3d5cf36c5a0dc27a91e3362f412027c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3480",
    "kind": "arxiv",
    "version": 1
  }
}