Pith Number

pith:TJC3G62Y

pith:2012:TJC3G62YYOG546C76DPOWIGK2C

not attested not anchored not stored refs pending

Sign changing solutions of Lane Emden problems with interior nodal line and semilinear heat equations

Filomena Pacella, Francesca De Marchis, Isabella Ianni

arxiv:1210.6303 v2 · 2012-10-23 · 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{TJC3G62YYOG546C76DPOWIGK2C}

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	2026-05-18T01:22:49.184017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a45b37b58c38dde785ff0deeb20cad0b988c326693cc2e8fc1596f750391910

Aliases

arxiv: 1210.6303 · arxiv_version: 1210.6303v2 · doi: 10.48550/arxiv.1210.6303 · pith_short_12: TJC3G62YYOG5 · pith_short_16: TJC3G62YYOG546C7 · pith_short_8: TJC3G62Y

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/TJC3G62YYOG546C76DPOWIGK2C \
  | 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: 9a45b37b58c38dde785ff0deeb20cad0b988c326693cc2e8fc1596f750391910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f16e129d8a6ad29fa70e9f83820a9a9ea27361ea976bf88b0c64584c7394113a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-23T17:31:50Z",
    "title_canon_sha256": "1987c2fb165cafc8fe729efafdfd26daae57b832510936e10193af3ea50c1a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6303",
    "kind": "arxiv",
    "version": 2
  }
}