Pith Number

pith:2M524XM5

pith:2013:2M524XM5MXDEZMQDU5PA3XKDFB

not attested not anchored not stored refs pending

A new critical curve for the Lane-Emden system

Louis Dupaigne, Marius Ghergu, Wenjing Chen

arxiv:1302.4685 v4 · 2013-02-19 · 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{2M524XM5MXDEZMQDU5PA3XKDFB}

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	2026-05-18T03:27:03.010607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33bae5d9d65c64cb203a75e0ddd4328747df9d1b5525d94ed589d1eb69a8a47

Aliases

arxiv: 1302.4685 · arxiv_version: 1302.4685v4 · doi: 10.48550/arxiv.1302.4685 · pith_short_12: 2M524XM5MXDE · pith_short_16: 2M524XM5MXDEZMQD · pith_short_8: 2M524XM5

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/2M524XM5MXDEZMQDU5PA3XKDFB \
  | 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: d33bae5d9d65c64cb203a75e0ddd4328747df9d1b5525d94ed589d1eb69a8a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ab26ef0f8b744f52b3825c8d1f10fac8ff863a17413d6c7b396a62ecb4d0a0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-19T17:21:36Z",
    "title_canon_sha256": "536e6a9d3a10004887bf4d9a3dcbb44bd1b44bba9c83c4f73ee7790d052d267c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4685",
    "kind": "arxiv",
    "version": 4
  }
}