Pith Number

pith:IWO2TM2L

pith:2012:IWO2TM2LGD4N6ZAMA5PFVE7CAO

not attested not anchored not stored refs pending

De Giorgi type results for elliptic systems

Mostafa Fazly, Nassif Ghoussoub

arxiv:1203.6114 v3 · 2012-03-27 · 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{IWO2TM2LGD4N6ZAMA5PFVE7CAO}

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	2026-05-18T03:57:15.678649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

459da9b34b30f8df640c075e5a93e203b8e1e1ab5cb3192e8088b5013fd6fc6d

Aliases

arxiv: 1203.6114 · arxiv_version: 1203.6114v3 · doi: 10.48550/arxiv.1203.6114 · pith_short_12: IWO2TM2LGD4N · pith_short_16: IWO2TM2LGD4N6ZAM · pith_short_8: IWO2TM2L

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/IWO2TM2LGD4N6ZAMA5PFVE7CAO \
  | 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: 459da9b34b30f8df640c075e5a93e203b8e1e1ab5cb3192e8088b5013fd6fc6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a21da28fe91747a090afddfa62a76055db89bc1efa332e34dd74006660a7e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-27T23:43:40Z",
    "title_canon_sha256": "1fd197528da17e499c108d3a6bcff603c7653f6d3e7d5cea532360935f829f5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6114",
    "kind": "arxiv",
    "version": 3
  }
}