Pith Number

pith:MGTAXAG3

pith:2012:MGTAXAG3WLGOIXD54FH2ZPZJOO

not attested not anchored not stored refs pending

On the extension property of Reifenberg-flat domains

Antoine Lemenant, Emmanouil Milakis, Laura V. Spinolo

arxiv:1209.3602 v1 · 2012-09-17 · 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{MGTAXAG3WLGOIXD54FH2ZPZJOO}

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	2026-05-18T03:45:30.495750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a60b80dbb2cce45c7de14facbf2973841f8e549cd0687b07f785e7140bf09a

Aliases

arxiv: 1209.3602 · arxiv_version: 1209.3602v1 · doi: 10.48550/arxiv.1209.3602 · pith_short_12: MGTAXAG3WLGO · pith_short_16: MGTAXAG3WLGOIXD5 · pith_short_8: MGTAXAG3

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/MGTAXAG3WLGOIXD54FH2ZPZJOO \
  | 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: 61a60b80dbb2cce45c7de14facbf2973841f8e549cd0687b07f785e7140bf09a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba17e73243a481c2ad2a3a250dd53a6681111e54e0cfd8076d4132f2d5a2e827",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-17T09:14:36Z",
    "title_canon_sha256": "972470c1401259fcf4a8cd2e44e518879e811f79e679982d173ac88f7fa43151"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3602",
    "kind": "arxiv",
    "version": 1
  }
}