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Pith Number

pith:4O7TX4TZ

pith:2023:4O7TX4TZHUBXADALBTOER3J5P6
not attested not anchored not stored refs pending

Frobenius height of prismatic cohomology with coefficients

Haoyang Guo, Shizhang Li

arxiv:2309.06663 v2 · 2023-09-13 · math.AG · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4O7TX4TZHUBXADALBTOER3J5P6}

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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 2026-07-05T12:09:41.438306Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e3bf3bf2793d03700c0b0cdc48ed3d7f835257e8d2e0f8c6a639dca9afd7cbf6

Aliases

arxiv: 2309.06663 · arxiv_version: 2309.06663v2 · doi: 10.48550/arxiv.2309.06663 · pith_short_12: 4O7TX4TZHUBX · pith_short_16: 4O7TX4TZHUBXADAL · pith_short_8: 4O7TX4TZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4O7TX4TZHUBXADALBTOER3J5P6 \
  | 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: e3bf3bf2793d03700c0b0cdc48ed3d7f835257e8d2e0f8c6a639dca9afd7cbf6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "346edbcfaebb745a6acbbebfde8f65a7299e33f52c42116d604ba1ae9d600401",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-09-13T01:46:44Z",
    "title_canon_sha256": "1d927e9d6de1ecf8148a036c6faac2e4059db152f7acf478954441161ee18342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.06663",
    "kind": "arxiv",
    "version": 2
  }
}