Pith Number

pith:LWATSHMF

pith:2015:LWATSHMF4SA5HMUQWI6A5L3YU3

not attested not anchored not stored refs pending

Uniqueness of positive solution for a quasilinear elliptic equation in heisenberg group

Kaushik Bal

arxiv:1512.02825 v1 · 2015-12-09 · 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{LWATSHMF4SA5HMUQWI6A5L3YU3}

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	2026-05-18T01:24:43.087858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d81391d85e481d3b290b23c0eaf78a6d82f334a5d4a6d76e24e67286142ffef

Aliases

arxiv: 1512.02825 · arxiv_version: 1512.02825v1 · doi: 10.48550/arxiv.1512.02825 · pith_short_12: LWATSHMF4SA5 · pith_short_16: LWATSHMF4SA5HMUQ · pith_short_8: LWATSHMF

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/LWATSHMF4SA5HMUQWI6A5L3YU3 \
  | 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: 5d81391d85e481d3b290b23c0eaf78a6d82f334a5d4a6d76e24e67286142ffef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36fef0d6f00bcc5e8f9ad50629221229b0405279870c9bf68d881ecd9b7b46d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-09T12:00:46Z",
    "title_canon_sha256": "eeccd0bc1c3960b45cc2b144cf18cd94cd3d658fa2a3bb60f7faaef935074106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02825",
    "kind": "arxiv",
    "version": 1
  }
}