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Pith Number

pith:HLO5G7GT

pith:2023:HLO5G7GT5VLLXNXRNU2B2OYNEZ
not attested not anchored not stored refs pending

The Half-Volume Spectrum of a Manifold

Liam Mazurowski, Xin Zhou

arxiv:2302.07722 v1 · 2023-02-15 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HLO5G7GT5VLLXNXRNU2B2OYNEZ}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T05:42:05.301397Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3addd37cd3ed56bbb6f16d341d3b0d2655f3d2b1e09b4ab607a33b11c41f2562

Aliases

arxiv: 2302.07722 · arxiv_version: 2302.07722v1 · doi: 10.48550/arxiv.2302.07722 · pith_short_12: HLO5G7GT5VLL · pith_short_16: HLO5G7GT5VLLXNXR · pith_short_8: HLO5G7GT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HLO5G7GT5VLLXNXRNU2B2OYNEZ \
  | 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: 3addd37cd3ed56bbb6f16d341d3b0d2655f3d2b1e09b4ab607a33b11c41f2562
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8ac89fe9a2b07e1d5804e9d25026a8ffcb3b380c758adf530a6e7adc8c42816c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-02-15T15:27:09Z",
    "title_canon_sha256": "7855391674026c4527fc7262febdc615544a63d9e9930a3da87ed205a6f2665f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.07722",
    "kind": "arxiv",
    "version": 1
  }
}