Pith Number

pith:TOOMCYSQ

pith:2017:TOOMCYSQZUK6NBHHR6PNNN62E2

not attested not anchored not stored refs pending

An Ando-Choi-Effros lifting theorem respecting subspaces

Javier Alejandro Ch\'avez-Dom\'inguez

arxiv:1702.04774 v2 · 2017-02-15 · 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{TOOMCYSQZUK6NBHHR6PNNN62E2}

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	2026-05-17T23:41:47.269004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b9cc16250cd15e684e78f9ed6b7da26aa1e2c623e58f94dac312a0f292a1b8d

Aliases

arxiv: 1702.04774 · arxiv_version: 1702.04774v2 · doi: 10.48550/arxiv.1702.04774 · pith_short_12: TOOMCYSQZUK6 · pith_short_16: TOOMCYSQZUK6NBHH · pith_short_8: TOOMCYSQ

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/TOOMCYSQZUK6NBHHR6PNNN62E2 \
  | 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: 9b9cc16250cd15e684e78f9ed6b7da26aa1e2c623e58f94dac312a0f292a1b8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d581beaa7fac0b40de490ca3524c4d01869422567dacec51cf35aef4a3c8a5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-15T21:07:27Z",
    "title_canon_sha256": "8e53aff1f883bf66ebfc5c519dfbe1f89952caf430010e45c4553ccdc618c62f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04774",
    "kind": "arxiv",
    "version": 2
  }
}