Pith Number

pith:EGANPHO7

pith:2013:EGANPHO74VRRUEOSRQ4OX5G2WI

not attested not anchored not stored refs pending

Symmetry of components, Liouville-type theorems and classification results for some nonlinear elliptic systems

Alberto Farina

arxiv:1307.6949 v1 · 2013-07-26 · 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{EGANPHO74VRRUEOSRQ4OX5G2WI}

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	2026-05-18T03:17:25.747783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2180d79ddfe5631a11d28c38ebf4dab234df500ef519fc9a8ff793e60ae6e40b

Aliases

arxiv: 1307.6949 · arxiv_version: 1307.6949v1 · doi: 10.48550/arxiv.1307.6949 · pith_short_12: EGANPHO74VRR · pith_short_16: EGANPHO74VRRUEOS · pith_short_8: EGANPHO7

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/EGANPHO74VRRUEOSRQ4OX5G2WI \
  | 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: 2180d79ddfe5631a11d28c38ebf4dab234df500ef519fc9a8ff793e60ae6e40b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe1011e7dd1c1cb5f0574caf5b5200ea79b56b330f1a6ece1efb44099849c72b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-26T08:15:07Z",
    "title_canon_sha256": "8d15ea6a110905f9023f9882cac261c2f965694e6fdd255cb197059f92f9d503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6949",
    "kind": "arxiv",
    "version": 1
  }
}