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Pith Number

pith:VTE3O7IW

pith:2016:VTE3O7IW4RL6RAK37ML3CWZIIH
not attested not anchored not stored refs pending

Two's company, three (or more) is a simplex: Algebraic-topological tools for understanding higher-order structure in neural data

Chad Giusti, Danielle S. Bassett, Robert Ghrist

arxiv:1601.01704 v2 · 2016-01-07 · q-bio.NC · math.AT · q-bio.QM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VTE3O7IW4RL6RAK37ML3CWZIIH}

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 2026-05-18T01:22:57.138455Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

acc9b77d16e457e8815bfb17b15b2841fe8b03cafcd7e4a0de4ff6445fe85120

Aliases

arxiv: 1601.01704 · arxiv_version: 1601.01704v2 · doi: 10.48550/arxiv.1601.01704 · pith_short_12: VTE3O7IW4RL6 · pith_short_16: VTE3O7IW4RL6RAK3 · pith_short_8: VTE3O7IW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VTE3O7IW4RL6RAK37ML3CWZIIH \
  | 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: acc9b77d16e457e8815bfb17b15b2841fe8b03cafcd7e4a0de4ff6445fe85120
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "35e4a3c953695159ba6116435ea1f87eda8628c7ddd8f77dbf1e72486bc7b47b",
    "cross_cats_sorted": [
      "math.AT",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2016-01-07T21:15:41Z",
    "title_canon_sha256": "da9d9b7d8fa798aeb89d338d0f2548d0f7462f0398760671eafb5abffbaec00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01704",
    "kind": "arxiv",
    "version": 2
  }
}