Pith Number

pith:L2X3DF42

pith:2025:L2X3DF42BWPVG5LHZPMQAOKR7B

not attested not anchored not stored refs pending

Plus-pure thresholds of some cusp-like singularities in mixed characteristic

Eamon Quinlan-Gallego, Hanlin Cai, Karl Schwede, Kevin Tucker, Suchitra Pande

arxiv:2501.07528 v2 · 2025-01-13 · math.AG · math.AC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2X3DF42BWPVG5LHZPMQAOKR7B}

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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

2 papers in Pith

Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities

Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings

Receipt and verification

First computed	2026-07-05T11:59:10.222798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eafb1979a0d9f537567cbd9003951f858bad9a0040817b1115c46c3eb1110b3

Aliases

arxiv: 2501.07528 · arxiv_version: 2501.07528v2 · doi: 10.48550/arxiv.2501.07528 · pith_short_12: L2X3DF42BWPV · pith_short_16: L2X3DF42BWPVG5LH · pith_short_8: L2X3DF42

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/L2X3DF42BWPVG5LHZPMQAOKR7B \
  | 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: 5eafb1979a0d9f537567cbd9003951f858bad9a0040817b1115c46c3eb1110b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7540c57210a28dae3c72d8a21ab7cd457065485381c3b3224acc90f07a8237bd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-13T17:59:40Z",
    "title_canon_sha256": "9105865e896e625413f97b951454ea7a1985bd77d2406f30474e7f4add11dc05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07528",
    "kind": "arxiv",
    "version": 2
  }
}