Pith Number

pith:TEZPCLFC

pith:2012:TEZPCLFCNQMZDCJSCIJMSJC25O

not attested not anchored not stored refs pending

Symmetry results for cooperative elliptic systems in unbounded domains

Filomena Pacella, Francesca Gladiali, Lucio Damascelli

arxiv:1212.4647 v2 · 2012-12-19 · 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{TEZPCLFCNQMZDCJSCIJMSJC25O}

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	2026-05-18T03:21:43.460904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9932f12ca26c199189321212c9245aeba4fb6c64ad76cee38afb89c1d657ee5b

Aliases

arxiv: 1212.4647 · arxiv_version: 1212.4647v2 · doi: 10.48550/arxiv.1212.4647 · pith_short_12: TEZPCLFCNQMZ · pith_short_16: TEZPCLFCNQMZDCJS · pith_short_8: TEZPCLFC

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/TEZPCLFCNQMZDCJSCIJMSJC25O \
  | 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: 9932f12ca26c199189321212c9245aeba4fb6c64ad76cee38afb89c1d657ee5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "258afd99cb2e5b350cc7bbc7ed31270baf1d9fb2d193a48960619762aefe951a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-19T13:08:53Z",
    "title_canon_sha256": "d4788af177571a9e3caf458b0cc2d5b84b8fd56e4da92f6a46458f6017f65f86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4647",
    "kind": "arxiv",
    "version": 2
  }
}