Pith Number

pith:RC36KV7T

pith:2010:RC36KV7TD3U6QGHP6HGDSEF634

not attested not anchored not stored refs pending

Positive Liouville theorems and asymptotic behavior for p-Laplacian type elliptic equations with a Fuchsian potential

Martin Fraas, Yehuda Pinchover

arxiv:1003.5452 v2 · 2010-03-29 · 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{RC36KV7TD3U6QGHP6HGDSEF634}

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	2026-05-18T04:39:00.110332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b7e557f31ee9e818eff1cc3910bedf2056db65b1efb1d4e794faa1d9c1690a

Aliases

arxiv: 1003.5452 · arxiv_version: 1003.5452v2 · doi: 10.48550/arxiv.1003.5452 · pith_short_12: RC36KV7TD3U6 · pith_short_16: RC36KV7TD3U6QGHP · pith_short_8: RC36KV7T

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/RC36KV7TD3U6QGHP6HGDSEF634 \
  | 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: 88b7e557f31ee9e818eff1cc3910bedf2056db65b1efb1d4e794faa1d9c1690a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b3d1645d53a181c704078f14581d4727c4f928b37426113c16643be1b0fe3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-03-29T08:21:33Z",
    "title_canon_sha256": "7257856d0c5318f3a59afd84f90b8e969c6802b172c298d6069a2604764ee7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5452",
    "kind": "arxiv",
    "version": 2
  }
}