Pith Number

pith:O6P56T4S

pith:2011:O6P56T4SS3BM2YMSRHIPZPT3WS

not attested not anchored not stored refs pending

Separable solutions of quasilinear Lane-Emden equations

Alessio Porretta (DIPMAT), Laurent Veron (LMPT)

arxiv:1104.0479 v3 · 2011-04-04 · 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{O6P56T4SS3BM2YMSRHIPZPT3WS}

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	2026-05-18T04:10:12.253482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

779fdf4f9296c2cd619289d0fcbe7bb48ca84771f64d7f3b4a99d13e0c282728

Aliases

arxiv: 1104.0479 · arxiv_version: 1104.0479v3 · doi: 10.48550/arxiv.1104.0479 · pith_short_12: O6P56T4SS3BM · pith_short_16: O6P56T4SS3BM2YMS · pith_short_8: O6P56T4S

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/O6P56T4SS3BM2YMSRHIPZPT3WS \
  | 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: 779fdf4f9296c2cd619289d0fcbe7bb48ca84771f64d7f3b4a99d13e0c282728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7465336343cd2cc30415c8ec6b229edbf8ec486183d24edfde33f0e7ab91b0c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-04T07:27:46Z",
    "title_canon_sha256": "dd59de501a3727496c7983aa20e110b34c2688e875664d3f6a0d8b8c3bccfa5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0479",
    "kind": "arxiv",
    "version": 3
  }
}