Pith Number

pith:MTFII6GR

pith:2016:MTFII6GRJ77WPKD7AT6GUFG2FP

not attested not anchored not stored refs pending

Controlling almost-invariant halfspaces in both real and complex settings

Adi Tcaciuc, Ben Wallis

arxiv:1608.00388 v1 · 2016-08-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTFII6GRJ77WPKD7AT6GUFG2FP}

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	2026-05-18T01:10:11.859753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64ca8478d14fff67a87f04fc6a14da2bcc65a6669e3c41cc8c491ba2f3263009

Aliases

arxiv: 1608.00388 · arxiv_version: 1608.00388v1 · doi: 10.48550/arxiv.1608.00388 · pith_short_12: MTFII6GRJ77W · pith_short_16: MTFII6GRJ77WPKD7 · pith_short_8: MTFII6GR

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/MTFII6GRJ77WPKD7AT6GUFG2FP \
  | 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: 64ca8478d14fff67a87f04fc6a14da2bcc65a6669e3c41cc8c491ba2f3263009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e7e289f07e695ecf502d95f8205ebea33f745bebda365106bdf302e7fb16b3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-01T11:32:27Z",
    "title_canon_sha256": "73e0ce417321e6ceec08f6dff91ea57a74f146f638f5cdf5bccfed5131487aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00388",
    "kind": "arxiv",
    "version": 1
  }
}