Pith Number

pith:ZZJNDLXX

pith:2011:ZZJNDLXXMOOMANI6ARDRN3EDNF

not attested not anchored not stored refs pending

On the Quasi-Linear Elliptic PDE $-\nabla\cdot(\nabla{u}/\sqrt{1-|\nabla{u}|^2}) = 4\pi\sum_k a_k \delta_{s_k}$ in Physics and Geometry

Michael K.-H. Kiessling

arxiv:1107.4126 v3 · 2011-07-20 · math-ph · gr-qc · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZJNDLXXMOOMANI6ARDRN3EDNF}

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	2026-05-17T23:57:03.659468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce52d1aef7639cc0351e044716ec83694296f1f6cd55779e1fa261ec15c3e986

Aliases

arxiv: 1107.4126 · arxiv_version: 1107.4126v3 · doi: 10.48550/arxiv.1107.4126 · pith_short_12: ZZJNDLXXMOOM · pith_short_16: ZZJNDLXXMOOMANI6 · pith_short_8: ZZJNDLXX

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/ZZJNDLXXMOOMANI6ARDRN3EDNF \
  | 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: ce52d1aef7639cc0351e044716ec83694296f1f6cd55779e1fa261ec15c3e986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98412333a579c996c95f4a1847281011a684ab298a9de910c8e0b0c6f9b3eb70",
    "cross_cats_sorted": [
      "gr-qc",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-20T22:01:45Z",
    "title_canon_sha256": "0631ec96a2b1ef83995a6763957ce1b9d4d1a424b36cfea694d95ff3c43d334b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4126",
    "kind": "arxiv",
    "version": 3
  }
}