pith. sign in
Pith Number

pith:PSOIHW7N

pith:2020:PSOIHW7NNQDD4QR3R4NMVA6W65
not attested not anchored not stored refs pending

Space, Matter and Interactions in a Quantum Early Universe. Part I : Kac-Moody and Borcherds Algebras

Alessio Marrani, Klee Irwin, Michael Rios, Piero Truini

arxiv:2012.10227 v1 · 2020-12-18 · gr-qc · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PSOIHW7NNQDD4QR3R4NMVA6W65}

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 2026-07-05T02:00:36.648426Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7c9c83dbed6c063e423b8f1aca83d6f76d87577d0723a527b0e595a6f313e762

Aliases

arxiv: 2012.10227 · arxiv_version: 2012.10227v1 · doi: 10.48550/arxiv.2012.10227 · pith_short_12: PSOIHW7NNQDD · pith_short_16: PSOIHW7NNQDD4QR3 · pith_short_8: PSOIHW7N
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PSOIHW7NNQDD4QR3R4NMVA6W65 \
  | 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: 7c9c83dbed6c063e423b8f1aca83d6f76d87577d0723a527b0e595a6f313e762
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a1727be4ecf9a10d55dff0f7fbd62d1b5228a680bdb0eba6625cbdf1276bb7df",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-12-18T13:45:22Z",
    "title_canon_sha256": "d4cc3713275ea767879bb141e9869089b416f20bdddee0e0bce27b10bcc831e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.10227",
    "kind": "arxiv",
    "version": 1
  }
}