Pith. sign in
Pith Number

pith:PCNQGMYO

pith:2025:PCNQGMYOVQJCQIKBUJSL4GFYQE
not attested not anchored not stored refs pending

Volume as an index of a subalgebra

Hong Liu, Samuel Leutheusser

arxiv:2508.00056 v1 · 2025-07-31 · hep-th · gr-qc · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PCNQGMYOVQJCQIKBUJSL4GFYQE}

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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

3 papers in Pith

Receipt and verification
First computed 2026-07-05T11:46:48.077879Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

789b03330eac12282141a264be18b88138beafdee4018aed46a82568b5e778fa

Aliases

arxiv: 2508.00056 · arxiv_version: 2508.00056v1 · doi: 10.48550/arxiv.2508.00056 · pith_short_12: PCNQGMYOVQJC · pith_short_16: PCNQGMYOVQJCQIKB · pith_short_8: PCNQGMYO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PCNQGMYOVQJCQIKBUJSL4GFYQE \
  | 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: 789b03330eac12282141a264be18b88138beafdee4018aed46a82568b5e778fa
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5e5be4d6923df233942e8315240cc65259c5d0ea0ce8bf14dcbc1dc1eecbbe62",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-31T18:00:01Z",
    "title_canon_sha256": "836eacaa1fb611a2185f5539924061c76096b6befa196a2006646a8278692d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.00056",
    "kind": "arxiv",
    "version": 1
  }
}