Pith Number

pith:ENMI5PIH

pith:2025:ENMI5PIH6W7PCM74IMEDKY4UMX

not attested not anchored not stored refs pending

Multiplicity $=$ Volume formula and Newton non-degenerate ideals in regular local rings

T\`ai Huy H\`a, Thai Thanh Nguyen, Vinh Anh Pham

arxiv:2503.16393 v2 · 2025-03-20 · math.AC · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENMI5PIH6W7PCM74IMEDKY4UMX}

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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

Supersymmetric Schur polynomials have saturated Newton polytopes

Receipt and verification

First computed	2026-07-05T11:11:43.364699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23588ebd07f5bef133fc430835639465c84caa484936f92f0d7dbe42e7b6633c

Aliases

arxiv: 2503.16393 · arxiv_version: 2503.16393v2 · doi: 10.48550/arxiv.2503.16393 · pith_short_12: ENMI5PIH6W7P · pith_short_16: ENMI5PIH6W7PCM74 · pith_short_8: ENMI5PIH

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/ENMI5PIH6W7PCM74IMEDKY4UMX \
  | 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: 23588ebd07f5bef133fc430835639465c84caa484936f92f0d7dbe42e7b6633c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5313a0eb12c8ce585689a51c2c1402727e8067383613413dc659b1e20988223c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-03-20T17:53:11Z",
    "title_canon_sha256": "eec8651dce5bbcbdc62f96d157365922a7c459a175c76ecd1b03ce6a06835e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.16393",
    "kind": "arxiv",
    "version": 2
  }
}