Pith Number

pith:SG7VEC5P

pith:2015:SG7VEC5PWXCBKRLCK4VRATVRGJ

not attested not anchored not stored refs pending

On the non-vanishing property for real analytic solutions of the $p$-Laplace equation

Vladimir G. Tkachev

arxiv:1503.03234 v1 · 2015-03-11 · math.AP · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SG7VEC5PWXCBKRLCK4VRATVRGJ}

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	2026-05-18T01:06:41.134456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91bf520bafb5c4154562572b104eb13250adeefc9dd737eb6d377500319a3076

Aliases

arxiv: 1503.03234 · arxiv_version: 1503.03234v1 · doi: 10.48550/arxiv.1503.03234 · pith_short_12: SG7VEC5PWXCB · pith_short_16: SG7VEC5PWXCBKRLC · pith_short_8: SG7VEC5P

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/SG7VEC5PWXCBKRLCK4VRATVRGJ \
  | 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: 91bf520bafb5c4154562572b104eb13250adeefc9dd737eb6d377500319a3076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d81d379e39c9cdec286b71cd3fc13503e523bb326f81c0199ce84748481d3187",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-11T09:32:38Z",
    "title_canon_sha256": "b3abc319681809cbfa00a297de482011ecb819788516bd251dd014728b5e31b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03234",
    "kind": "arxiv",
    "version": 1
  }
}