Pith Number

pith:B7GBXPW7

pith:2013:B7GBXPW7EC24WWJLPDGS6JJE4F

not attested not anchored not stored refs pending

Asymptotic analysis and sign changing bubble towers for Lane-Emden problems

Filomena Pacella, Francesca De Marchis, Isabella Ianni

arxiv:1309.6961 v2 · 2013-09-26 · 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{B7GBXPW7EC24WWJLPDGS6JJE4F}

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	2026-05-18T01:22:49.051178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fcc1bbedf20b5cb592b78cd2f2524e15e226a65c12b415d8a8e9c26921c3b69

Aliases

arxiv: 1309.6961 · arxiv_version: 1309.6961v2 · doi: 10.48550/arxiv.1309.6961 · pith_short_12: B7GBXPW7EC24 · pith_short_16: B7GBXPW7EC24WWJL · pith_short_8: B7GBXPW7

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/B7GBXPW7EC24WWJLPDGS6JJE4F \
  | 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: 0fcc1bbedf20b5cb592b78cd2f2524e15e226a65c12b415d8a8e9c26921c3b69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b83348695a84b37d28fd2cd0466f742fbc3f007ffcf0af7981eb8706b358abaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-26T16:31:10Z",
    "title_canon_sha256": "3b9e37fe8272ad54c07a860a1c46a85cc43fd4a756aaf8eb823e47dbd058c4e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6961",
    "kind": "arxiv",
    "version": 2
  }
}