Pith Number

pith:SX7FI43W

pith:2019:SX7FI43WAETTA3XC77KKM66RXG

not attested not anchored not stored refs pending

Positive solutions to the sublinear Lane-Emden equation are isolated

Giovanni Franzina, Guido De Philippis, Lorenzo Brasco

arxiv:1911.09163 v1 · 2019-11-20 · 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{SX7FI43WAETTA3XC77KKM66RXG}

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	2026-07-05T00:20:57.184437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95fe5473760127306ee2ffd4a67bd1b98024a2a1749b35b1a50de468110e7d2d

Aliases

arxiv: 1911.09163 · arxiv_version: 1911.09163v1 · doi: 10.48550/arxiv.1911.09163 · pith_short_12: SX7FI43WAETT · pith_short_16: SX7FI43WAETTA3XC · pith_short_8: SX7FI43W

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/SX7FI43WAETTA3XC77KKM66RXG \
  | 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: 95fe5473760127306ee2ffd4a67bd1b98024a2a1749b35b1a50de468110e7d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c48bced857d4e4365f45bf6e171c134e877963752896e7765626025b52d14c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-11-20T20:36:53Z",
    "title_canon_sha256": "56f8488974c981e0310a2a8a2916580311e44c23f88497aee6bb982c1cfc5297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.09163",
    "kind": "arxiv",
    "version": 1
  }
}