Pith Number

pith:RV2TCKX2

pith:2024:RV2TCKX2HYVDGRJGTZBXTMPSCC

not attested not anchored not stored refs pending

Equivalence of different definitions of higher $\rho$ invariants

Guoliang Yu, Hongzhi Liu, Zhizhang Xie

arxiv:2411.16716 v1 · 2024-11-22 · math.AT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RV2TCKX2HYVDGRJGTZBXTMPSCC}

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	2026-07-05T09:40:22.425862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d75312afa3e2a3345269e4379b1f210a062398136777214aa1a02085d967d3c

Aliases

arxiv: 2411.16716 · arxiv_version: 2411.16716v1 · doi: 10.48550/arxiv.2411.16716 · pith_short_12: RV2TCKX2HYVD · pith_short_16: RV2TCKX2HYVDGRJG · pith_short_8: RV2TCKX2

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/RV2TCKX2HYVDGRJGTZBXTMPSCC \
  | 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: 8d75312afa3e2a3345269e4379b1f210a062398136777214aa1a02085d967d3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b00e0c48302c3ce922cd22b01e64e6c93e32b599ee9fa5a2ddbb3502e9efdf81",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-11-22T22:15:35Z",
    "title_canon_sha256": "f3059777448b296f1d1c1e591957f3047efc72126e37f571f257f781e39e5275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16716",
    "kind": "arxiv",
    "version": 1
  }
}